Pulling Data from Other Stripe Products into Ghost

I’m using my Stripe account to manage multiple products, in addition to my Ghost subscriptions.
From what I can tell, when someone signs up for a different product and pays me on Stripe - they automatically show up as a paying subscriber on my blog.

Unfortunately the product they’ve signed up for is meant to be totally separate from my personal blog. Curious if the logic just pulls customers from a Stripe account based on email as opposed to email + the specific product they are subscribed to. If so, is there a way to change this?

So the unintended impact of this is that customers that buy a product that i offer payment through stripe are erroneously also subscribed to my personal blog.

Ghost Version: 4.9.4