Even though he’s just getting to know them, Basil feels like Liv is very optimistic and care-free, and likes that about them. Of course, he wouldn’t say it out loud.
☯: First impression of your muse
When Basil met Liv, they appeared to the detective as a clumsy, rushed, distracted young lad.
❧: Random affectionate headcanon
Liv reminds Basil of a much younger version of himself. Particularly, he gets taken back to his own childhood when he was trying his best to discover who he was. While in a different situation from Liv, their outstanding behavior do make him recall those strange, mysterious times.