In the event of united Ireland could DUP attract a significant vote in the Republic / 26 Counties ?

The very people who are least likely to care whether a UI is in the BC or not.

FG take the "progressive" stance on just about any social issue you can imagine though (abortion, gay marriage, surrogacy, trans, hate speech, "conversion therapy" etc.).

If this isn't costing them votes from social conservatives, I don't know how the DUP entering the fray would change anything.

This makes no sense though. FG currently have absolutely no socially conservative policies, if anything they pride themselves on their crusading progressive zeal. What would motivate a social conservative to vote for a party which is the opposite of socially conservative?

Bringing up some past stereotypical FG voter is pointless too, unless through time travel unification happens in the past. FG have planted their flag firmly in the liberal/progressive/whatever camp, and they'll have no social policies in common with the DUP if/when unification comes.

 liberal wing

Which is what I said. See post.

Is the entire FG vote 'liberal'. No, I don't think you can say that at all.

I think some would align with the social policy of the DUP and after a time give them a vote. Donaldson addressing their conference and being applauded shows you that IMO. Brexit may have set that friendship back a bit but that had more to do with the DUP's aversion to the south generally than FG.

Personal experience.
I was one of those who as a recently graduated student campaigned for divorce in the 80's for instance. The most bitter and vociferous objection to that social change encountered, came from conservative FGers. If you didn't live through those times and later ones I can understand how you might not share my point of view.
To this very day, the most partitionist and pro-unionist people in the south support FG, this site is a microcosm of that hence the easy applause for the leader of the DUP. They may not wholly agree but they are amenable to agreeing with them. Just an pretty obvious fact IMO however uncomfortable it might now be for some.

All the main parties are socially liberal now more than they were in the 80's.

The conservative vote has not disappeared though.

What 'personal jibe'?

And I never said there was a 'relationship', I said they would be more amenable to one than any other party I can see.

The discomfort pointed to, is very apparent in your inability to read posts properly. Donaldson, as leader of the DUP received applause at a key FG event, it happened and it happened for reasons. You might not like those reasons being 'interrogated' but ho hum TBH.

Can't address FG issues without a pop at SF. How predictable. SF support will be the last to give the DUP a vote IMO for reasons that should be apparent.

Nobody is surprised at the embarrassment FG feel about Donaldson's reception.

No doubt you'll keep trying to ignore the fact that if we rejoin the Commonwealth that it will be most enthusiastically promoted by some in FG and it's support. If somebody in FF was enthusiastic about it as Neale Richmond is for one, would they rise through the party ranks as successfully as he has? I doubt it.
That is not to deprive Richmond etc of their opinions, they are entitled to them even if I can't support them, I'm just pointing to facts about the party and their possible amenability to DUP and wider Unionism.

Again, the question asked - In the event of united Ireland could DUP attract a significant vote in the Republic / 26 Counties ?
I said that I think some FG voters would be amenable to voting for them on social issues.

Why? Because I think a fair share of the conservative vote here still belongs to FG. Yes FG are more socially liberal than they were but so are all the major parties here. No biggie there. A fair share of the conservative vote belongs to FF too, but as I said the constitutional issue and their republicanism would stop them voting for the DUP. So they aren't a part of the equation here IMO
You talk about 40 year old stale outlooks but seem to forget that the only political party that campaigned for a No vote in the 2018 referendum was a party founded out of a FG revolt over social issues and that social change caused much rancour within the party even under Fitzgerald. There is IMO a conservative rump within FG. I think many of them contributed to the NO here in my own constituency of Cavan/Monaghan in the 2018 referendum. I'm judging that based on who was campaigning and the less than enthusiastic endorsements coming from their TD's.

I don't think it can be denied either that the partitionist element, such as it is, votes for FG. Certainly in a UI referendum they would be wanting the same outcome and saying many of the same things as the DUP etc. And I don't think it is any secret that those actually sympathetic to Unionism along the border constituencies are traditionally FG voters. They could certainly be attracted to vote for the DUP if they stood here.

Those are the grounds for my opinions so maybe actually counter them rather than give another tetchy censorious reply?

The referendum that was called by and supported by FG ?

Renua? Yes it was formed by ex-FGers, and they all lost their seats.

If that party had been able to attract even a small proportion of FG voters it would have been able to survive.

Oh Francie, give it up will you, it's nonsense and you know it.