But there are synthetics that handle sweat/moisture way better than cotton. For example: it's technical wear, but Patagonia's sun hoody [1] is one of my all-time favorite pieces of clothing.
Consider what football players wear. Nobody's wearing wool or cotton jerseys any more! Synthetics wick better, stretch better, and dry better. The biggest downside is the microplastics they make when you launder them. Supply-chain wise, they might still be better than most cotton, though.
1) https://www.patagonia.com/product/mens-tropic-comfort-natura...