In my case it often can and does.

Many sites I use force email or SMS-based 2FA, sometimes in addition to "security questions" and/or have other multiple steps of authorization (like captchas) required; it's often not just a simple username/password for me.

Now multiply that by 25 different sites. Not happening.

One option for that is to use multiple Firefox profiles. The main general-purpose browsing profile would have a hardened configuration, while dedicated profiles are used for other websites that should remain logged in.