I haven't seen any TRA demands in Ireland. In fact, here the bathroom issues seems to be addressed by virtue of providing gender neutral as well as single sex bathrooms, and people seem to be happy with that - see articles about Trinity and DCU
A quote from the Trinity article:
"Trinity’s Gender Identity and Expression policy states that “it is not acceptable to restrict a trans* person to use disabled toilets or other unisex facilities”, and describes it as “good practice” for Trinity to provider “non-gender specific facilities where possible”.
They have taken any single toilets, or easily adaptable ones and made them gender neutral, while leaving the main men's and women's untouched. This seems to me to be very sensible, as long as the relabelling of the disability bathrooms doesn't mean less access for disabled students and staff. Though I worry about whether new buildings will have gender neutral only, it's not clear.
It wouldn't keep the UK or American transactivists happy, I don't think, and I also don't think legally a transwoman who wanted to use the womens could be stopped. It doesn't seem to have happened - yet!
Any students I've talked to are still at the "eyeroll, does it matter" stage, until I point out that women should be able to go into the loo in a nightclub if they feel threatened and know for sure no man can follow them 
At that point I can see tiny little glimmers of comprehension. But it's slow going.