If so, I see no reason to not include them in Claw. With Ursoc and Ursol gone, it wouldn't be a stretch for Druids of the Claw to look to other sources.
Doesn't matter. Druids of the Claw are specifically bears. If cats were associated with a totme, it'd be a completely different and its own. Same with spiders if that day came.
And another specifically for aquatic form? And another specifically for boomkins and tree forms, I assume?
I doubt it. Cats and bears share a similar enough purpose, lore wise, that they don't need to be a separate sect.
Druids of the Fin!
Druids of the Moon!
Druid of the Branch!