I spent a few minutes trying to suss this out and came away thinking that the UK has made visa issuance a real profit centre. To be taken as Very Serious Person you have to apply for Super Priority service in Paris and pay €792 extra http://www.ge2fr.tpcontact.co.uk/sit...is%20FINAL.pdf
and that's after paying perhaps thousands of pounds even for a small family.
I decided the only way to get an answer was to actually start the application process, and then change to the other site. I do remember that many consular offices in Geneva discourage non-diplomatic applications (the USA wouldn't accept them at all there, I seem to remember).
Cheaper, I think, in the long run to get one of those "economic citizenships", say in Cyprus or Malta.
No wonder the Swiss consulates in the USA are doing a super business in facilitated naturalisation, although perhaps that's also a matter of the new, more restrictive law coming into force next year. (Anybody with an Irish or Italian or Greek grandparent is home free as well, I think. And Spain and Portugal have concessions too, latterly for Sephardi. Then there are descendants of political and religious pre-War expatriates from Germany and Austria.)