If you scroll down there's a list of countries which can participate and who are automatically eligible to apply for funding too. So the EU, at least bits of it, despite all the talk of gardens and jungles, is still a force for good in the world.
I'm not against this particular deal, in fact I'm moderately in favor. However IMO these kinds of 100 separate deals so the UK can get the "goods" while still being out are not good in the long run. ( the UK always had kind of a special deal since the 60s, but there is so much bad blood and misinformation it's pointless to acknowledge that )
See Article 16 in [1].
For Horizon, it'd have been a major diplomatic "fuck you" if the UK was refused given the wording of Article 16.
[1] https://eur-lex.europa.eu/eli/reg/2021/695/oj Regulation (EU) 2021/695 of the European Parliament and of the Council of 28 April 2021 establishing Horizon Europe