Clear recent history (History menu or ctl+shft+del) enables you to remove cookies and keep logins. Deleting data has, it seems, been made more complicated with version 102 but I am still looking into that.

https://support.mozilla.org/en-US/kb/clear-cookies-and-site-data-firefox

Note that there is a difference between logins (logins.json and key4.db) and session cookies that website use to login and remember you. You normally can't remove logins when you close Firefox, but you can remove or let expire cookies including the session cookies what will cause a website to forger about you and requires to login again on the next visit.

Detail like websites remembering you and log you in automatically is stored in cookies, so make sure you aren't clearing important cookies.

You can use these steps to make a website recognize and remember you.

• create a cookie allow exception with the proper protocol (https:// or http://) to make a website remember you

You can check that you aren't clearing important cookies.

• using "Delete cookies and site data when Firefox is closed" keeps cookies with an allow exception
• using "Clear history when Firefox closes" to clear cookies clears all cookies including cookies with an allow exception you may want to keep
• clearing "Site Preferences" clears exceptions for cookies, images, pop-up windows, and software installation and exceptions for passwords and other website specific data

• Settings -> Privacy & Security
  Cookies and Site Data: "Manage Exceptions"
• Settings -> Privacy & Security
  Firefox will: "Use custom settings for history":
  [X] "Clear history when Firefox closes" -> Settings