Would it be better to use different sunscreens depending on the season?

The sunscreen I'm currently using is a bit matte, so

It feels a bit stiff.

But now that autumn and winter are coming in, I'm wondering if I should buy a sunscreen that's a bit more moisturizing.

Or would it be okay to mix something like a moisturizer with the sunscreen? I have mixed it with oil before.

But after seeing a comment saying they'd never seen anyone mix oil with their food before, I started wondering if that's the right way to do it.