I tried the solution above from @henrywright-1, but it has its issues.
The first time you load the home page it is just a blank white page, presumably as the first load only sets the homepage using the logic above. When refreshing, you’re taken to the proper page. However, that actually sets the homepage as that, and anyone after is sent to the same one.
So, for instance, using the code above…
User #1 is already logged in and visits the site, they get a blank page.
User #2 is already logged in and visits the site, they get the (correct) about page.
User #3 is not logged in and visits the site, they also get the (incorrect) about page.
If you reverse it and the first person to go to the site is logged out, you get…
User #1 is not logged in and visits the site, they get a blank page.
User #2 is not logged in and visits the site, they get the (correct) Register page.
User #3 is already logged in and visits the site, they also get the (incorrect) Register page.
Additionally, sometimes when a logged in user visits they randomly get the members page.