Baby sweating in car seat

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My son has started tolerating car rides and the car seat better. But I'm wondering if one of the issues might be that he is getting hot and sweaty in it.

I was driving home last night though and again he was crying almost the whole way. I know he was tired because he hadn't slept much all day, but when got home and I got him out, his back was all sweaty. He was just in a short sleeve onesies and a thin woven long sleeve shirt. It was like low 40s/30s here.

Anyone else have this issue? I don't want to have to get a new car seat, but if that would resolve the issue, I will. Him getting sweaty and wet and then being out in the cold is not going to be a good combo either.

This is the car seat.

**This isn't the first time he's been sweaty coming out of the car seat, even if he hasn't been crying. He's been a sweaty little man from day 1 lol.