I genuinely don't think the cats mind my cycling. My mum does think I'm a bit batty, but then I've never made any claims to my sanity or lack thereof.

Besides, she's resigned herself to the fact that she has grandcats rather than grandkids. Actually, she's really rather supportive, even if she doesn't quite "get" it.
Cycling, like writing and painting is my headspace. Even just half an hour on the bike invariably makes me feel better.
I should say that I'm very much an introvert, so am perfectly happy entertaining myself.
And I did once ditch a partner because he didn't like the cats...