Yep, much like just about every credit card company shares your personal information BY DEFAULT with third parties unless you explicitly opt out (this includes Chase, Amex, Capital One, but likely all others).
For Chase Personal and Amex you can opt out in the settings. When you get new credit cards these institutions have the default setting to sharing your data. For Capital One you need to call them and have a chit chat that you want to exercise the restriction advertised in their privacy policy and they'll do it for you.
PG&E has a "Do not sell my info" form.
For other institutions, go check the settings and read the privacy policies.
I don't see the point of Rocket Money. They seem like they exist to sell your info.
You should keep track of your own subscriptions. My way of doing this is to have a separate zero-annual-fee credit card ONLY for subscriptions and I never use that card for anything else. That way I can cleanly see all my subscriptions on that credit card's bill, cleanly laid out, one per line, without other junk. I can also quickly spot sudden increases in monthly charges. I also never use that card in physical stores so that reduces the chance of a fraud incident where I need to cancel that card and then update all my subscriptions.
If you want to organize it even more, get a zero-annual-fee credit card that lets you set up virtual cards. You can then categorize your subscriptions (utilities, car, cloud/API, media, memberships, etc.) and that lets you keep track of how much you're spending on each category each month.
