The British ones won’t, because they are domiciled here, which is important in tax terms.
many of the others will have separate contracts for image rights. If you are Sergio Aguero, and the club pays you £1m a year for the use of your image rights, it can do so without you being in England to do it. So that can be paid to Sergio Aguero inc, an Argentinian company, and no UK tax is payable. His playing contract however, which will be the bulk of of income, is something that can only be performed in England, in the sense that that’s where his employer is based. So he will pay the same proportion of UK tax on his basic income as any other high earner.
all top players however receive performance related bonuses. It was part of the drive to comply with FFP to move away from higher basic wages onto greater performance related bonuses. So every week that goes by when a player doesn’t play, or score, or come on as a sub, or whatever, is a bite out of their normal earnings. The players are losing out on that income, HMG is losing out on the tax they would pay on that.
So many of them have already taken something close to a 30% cut to their usual income anyway.