Brunei is late to the party, Saudi Arabia has had the death penalty for homosexuality, along with conversion from Islam to any other religion (Brunei just did that too but nobody noticed because it's not about sex), for as long as anyone can remember. Brunei has simply caught up with what a raft of hardline Islamic regimes have been doing for years.
I obviously don't need to point out the irony of Elton John using Twitter to promote a boycott of hotels owned by Brunei, when Twitter itself is part-owned by Saudi money.
So just to help Elton, George Clooney, and the couple of dozen other people who can afford to boycott the Dorchester hotel chain, here are some of the institutions supported by Saudi money in the UK, just to help you avoid them:
School of Oriental and African Studies (SOAS)
University College London
London School of Economics
Media and PR
The Evening Standard
and several others
Industry and Commerce
Jersey Financial Services
It's also worth checking the money trail behind whichever Premier League football club you support. The UAE also has the death penalty for homosexuality, and 'apostasy' (conversion from Islam). Arsenal play at the Emirates stadium. Nobody has mentioned that. Strange.