Have reviewed your install and seams like several subscriptions are flagged wrong. Specifically the following.
Autorecurring Type
That should be set to "Autorecurring without notifications". You however have no subscriptions in CBSubs > Subscriptions with auto recurring enabled. Something is causing recurring on CBSubs end to turn off for those baskets, which is causing the fraud protection to kick in.
I've started a new recurring test with Stripe that should clear tomorrow as has a 1 day duration to reconfirm this is working. Within your Stripe account please be sure on the Developers page your account is using the latest Stripe API version, which should be 2020-08-27.
What's strange is you've a lot of web_accept payments coming through for what is supposed to be recurring baskets. This is what's causing the recurring to get toggled off. I'm not seeing this behavior in my tests. For example for the user Yann3 you'll notice a recurring payment with a type of subscr_signup came through then immediately after that a web_accept came through. That shouldn't be happening.
Looks like that delay during the payment process on Stripes end causes another webhook to be sent, but CBSubs Stripe isn't handling that webhook correctly. Am working on reviewing this further as will probably need to apply some fixes to CBSubs Stripe to correctly handle those webhooks. I'm not seeing such a webhook in my tests though.
Edit: In the web_accept webhook 'api_version' => '2019-09-09' is preset. This suggests that the API version at Stripe is significantly out of date. Try updating to latest and see if that resolves your problem as it could be an issue on Stripes end.