A club that I'm a member of in Brisbane (not a golf club) here in Australia has reciprocal rights at a bunch of clubs in the US, including both Riviera and Olympic (and a bunch of others that don't have golf courses, LAAC etc).
The Captain of my golf club, +1 marker and 3 time club champion is also a member of the club that has these reciprocal rights. After enjoying a game at Olympic, he was at Riviera and was told he required evidence of his HCP. Due to the time difference, he couldn't get hold of anyone at his home club to verfiy his claims to a +1 mark etc.
The staff asked him to hit a few balls on the range, he shanked one and was promptly told he couldn't play!
(luckily sanity prevailed and someone managed to get in touch with Olympic where the member he joined for a game revealed that said gentleman had managed to shoot 74 on the Lake and 29 on the Cliffs and Riviera allowed to him to play a few minutes later!)