I've never seen one; I only know of their existence thanks to reference books and the internet.*
I can assure you that in Australia, New Zealand and almost certainly the UK, the only calibre anyone means when they say ".303" is the .303 British cartridge.
*Aaaaand this is traditionally the point where someone from somewhere like regional Victoria pops in to say it's an incredibly popular cartridge around their parts and there were at least four people at their local gun club have a .303 Savage rifle during a recent range trip.![]()