At this level, selenium toning doesn't do anything; no deeper black, no color change and no protection. Selenium toning only protects the print if it is fully toned which does give a (strong) change in color towards brown or purple( eggplant) dependent on the paper. I would suggest that you use selenium toning for aesthetics; deeper blacks and/or change in color. If you don't get either of that, then the toning is so light that it doesn't add any protection, no need to bother with it. You may want to read
this thread and the documents referenced in the posts.
I tone Ilford Classic FB in KRST 1:20 5 min to get deeper blacks. It also cools the tone of the paper a bit. I wouldn't worry about stability. If you fix and wash your prints properly, they'll last a long time.