Actually Andy, this isn’t always the case, and the standard international names have already been adopted (and for quite some time!) Collins -
arguably the most widely used field guide in Europe - uses ‘Loons’ in both paper versions (old and new) for the main species accounts e.g. Red-throated Loon, yet ads ‘Divers’ in brackets after ‘Loons’, but only in the main family heading.
Confusingly, the android version (more recent than both paper versions-with Barn Owl and Arctic Tern covers) uses the same main heading: ‘Loons (Divers)’ then defaults to use ‘Diver’ for each species account e.g. Red-throated Diver, so Collins is not consistent in its use of either loon or diver.
Given that the android version of Collins was developed/published by a British company (spin-off from Birdguides) it should perhaps not be surprising that they defaulted to the English vernacular names in that version, whereas Collins presumably publish paper versions for continental Europe too (or do they?) so prefer to use the international English names as standard in those. It seems to imply this in the introduction in the android version, though to be honest life is too short to check what it says in the other versions!
Confusingly, the same methodology hasn’t been followed for skuas/jaegers in Collins, with all 4 species being called Skuas in both paper versions and in the android version.
I have to confess, like you Andy, that I thought this was an American vs British/European naming difference, but when I checked the latest British List here:
https://www.bou.org.uk/wp-content/uploads/2018/01/british-list-2018-01-08.pdf I discovered that what I assumed were the standard names for Britain/Europe (Diver & Skua) actually were only the vernacular names. As you can see the agreed standard international English names are loon and jaeger (but only for the 3 smaller species, ‘Skua’ is still correct for the larger species such as Great and South Polar).
The recent adoption by BOU brings our national list in line with the IOC World List which also uses Loon & Jaeger as the default names, with an acknowledgement that for the 3 smaller Stercorarius species, ‘skua’ is 'preferred by some'. The same names were also used in the old BOU list, so this is not a new thing, though I’m not sure how long this has been the case?
Clements makes no reference to either ‘diver’ or ‘skua’ in their latest World List, so again, they presumably also treat them as regional/vernacular names.