To be fair, a 'strong' password isn't likely to help all that much.
Those compromised account lists are almost exclusively from websites that were hacked to harvest passwords, or didn't hash their passwords sufficiently in the first place.
Making a strong password is obviously ideal. But people are generally better off with some basic in-browser password management - avoid password reuse is the real big deal. Maybe diceware is the thing to use if there's a specific password you need to actually remember and re-type across devices