Paypal absolutely lets you stop recurring payments unilaterally on their side. I use Paypal for subscriptions wherever it's offered precisely for this reason.
https://www.paypal.com/us/cshelp/article/what-is-an-automati...
I think it maybe only shows companies you had recent transactions with.
In 2023, I had a fraudulent $0.99 Paypal Automatic Payment for "Domain Name Forwarding - Renewal" from a company (DomainsPricedRight/OwnMyDomain aka GoDaddy) that I last did business with in 2005. Yes, 18 years prior.
I was able to 'deactivate' the 'subscription' on the Paypal site after I noticed the charge but I don't think automatic payments existed on Paypal in 2005 and I'd certainly never signed up for it.
The original 2005 business I did was a one time domain purchase that was transferred to another registrar within a year.
It was real fun to also see on Paypal that I could have been fraudulently charged up to $10,000.
It's kind of scary to think that any company I've done a Paypal transaction with could maybe do the same thing (or any of the companies that eventually acquire their merchant accounts...)
https://www.paypal.com/cgi-bin/webscr?cmd=_manage-paylist
[ EDIT: which redirects to the one you cited, so forget my attempt to be less wrong ]