Does changing your password after giving Plaid your banking info actually keep hackers out in the event of a security breach? Doesn't Plaid still have access?

I'm trying to find another bank or CU but I may end up being forced to use Plaid to link between bank accounts. I've seen people online say, "It's no biggie! Just change your password after giving it to Plaid." But I'm still skeptical. Does that actually work, or can they somehow take that info too (the changed password) since they now have access to your account? Like, don't they still continue to have access to your account? …

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