Question about strings for Jaguar

I got a Squier Classic Vibes Jaguar! Still very new to offsets and electric guitars in general.

The jag came with 9s on it. I see a lot of people on here say that putting 11’s or 12’s help with a lot of tuning problems, which is important to me, but ngl, as an acoustic guitar player, I have been enjoying the slinky feel of the light strings.

So 2 questions. First, I’m thinking about using 10.5 gauge strings as a compromise. Would those still help, are .11 really that different? Also what kind of strings are best? Pure nickel, nickel wound, flat?

If it helps I’m wanting to use this guitar for shoegaze, light punk, and surf garage type stuff.