The guy seems to think that the only reason that these things are happening in Saudi is because they have a dictatorship. He fails to understand that it is predominantly a deeply conservative society as a whole and I would suspect that the majority of the population do not approve of homosexuality and are happy for it to be illegal. I know because a lot of Moslems have the same attitude here.
It will change slowly, that is happening in Indonesia, but it practices a lot more moderate form of Islam than Saudi. Saudi will take longer and instead of pillorying them to try and effect immediate change we need to engage with them and accept that this isn't going to happen overnight, as the interviewer suggests. The UK only abolished the death penalty for sodomy in 1861 (it stood for 300years before that) and only legalised it in 1967.
What the guy doesn't seem to realise is that the Saudi's buying into Newcastle and holding the World Cup in Qatar has provided protesters great opportunities to get their point across on a global stage, something that wouldn't have happened if we had not been taken over by them or FIFA hadn't sorted the vote in Qatar's favour.
As a country we engage with the Middle East on a huge scale. We sell them technology, arms, buy their hydrocarbons. I am not comfortable with us trying to impose values on other countries but if we want to do that we should be doing that by a total ban on trade with them rather than just picking out a couple of sporting engagements. I doubt there is any chance of that and suspect it wouldn't end well if we tried.