Hey @Da Christian18, sorry for the confusion! You can't actually select 'Any product' for a specific integration — you'd have to leave the Integration dropdown blank, and then the 'Any product' option should be available in the product dropdown.
Basically, the 'Any product' option is only available for 'any integration' (i.e. leaving the integration field blank).
But if Stripe is your only purchase integration, it should still function the same as if you selected it for Stripe only.
I hope that helps :)