Stripe is starting to inject themselves into the transaction, turning more into Apple Pay by saying the charges API is deprecated
I think OP is just looking for something similar to Stripe. I’ve found Pin Payments to be pretty good. If they’d support ‘connect’ I’d migrate everything over to them
I believe you're talking about Stripe Checkout - which is totally optional and helps developers really quickly add a payment form to their site (like PayPal). I use Stripe on a number of my projects and at my startup and users never need to know "Stripe" exists unless I want them to. Disclosure: I am a former Stripe employee.
All I know is I went with Stripe so I didn’t have to see the PayPal logo (or any logo) in my checkout process
You don’t have to confuse things with an intermediate brand to wait for a user to auth a transaction in their banking app, just leave the timer on the screen until they do it