I can’t think of any good connotations:
The dog from The Famous Five - admittedly probably the best character in the series.
Tim Nice But Dim - his peers won’t know the character, but their parents will.
Timmy from Shaun The Sheep and Timmy Time - kids at school will definitely know this character, but he’s a good character, I guess.
Timmy from South Park - again, the kids shouldn’t know, but the parents will.
Also, I don’t know how Timotheé Chalet-whatsisface pronounces his name, but I always read it as Timotheeeeeay. I’m sure it’s a perfectly normal French spelling or something, but I can’t take it seriously.
I’d put it in the same category at Nigel, Giles, Rupert, and Hugh. They all wear red chinos, laugh too loudly at their own jokes and own badly behaved labradors called GInny and Lucy.