Would prefer a general "doting" tag.
[1] shows a caring sister (not a mom). By generalizing it, you dont have to make separate tags for caring mom, caring sister, caring friend, etc. You can search "doting + sister" or "doting + mother" to get the more specific thing you want.
That said, doting it hints at a slightly more obsessive attitude than "caring" I think. Maybe we could have separate "caring" and "doting" tags?
[1] doting sister #523080|Boku no Onee-chan - My dear Sister is M…|72,531
[2] caring mom pg17 #304307|Akarui Kazoku Seikatsu|152,107