The verdict
If you run a shop, freelance or sell to consumers who like paying with an account they already have, I'd pick PayPal, mainly as a payment method next to cards and local methods. If you sell software, subscriptions or usage-based services internationally and want a merchant of record to handle tax, I'd pick Polar.
I would not use PayPal as the only payment layer for a software business that scales. It does not handle tax as a merchant of record would, and it is not built for complex billing. I would not use Polar for a simple local shop either. Check Polar's supported countries and acceptable use policy before you build on it.