To me it has neither positive or negative connotation , - just different.
Mysterious has a neutral connotation.
Mysterious
A positive connotation for "shady" could be "mysterious" or "enigmatic," implying a sense of intrigue or allure.
positive connotation
negative
No it is a positive connotation.
Positive connotation: Exciting Negative connotation: Risky
positive connotation for inactive
Yes gaze is a positive connotation
Undoubtedly, docile has a very positive connotation.
A positive connotation for talk could be discuss.
Vocation has a positive connotation.