Well, I just went to a friends profile page with my outdated dragon browser, flash version 12.0.x.x.x.x and only had the add friend button.
BRB...will sign out, try a different, more current browser, and try going to the same friends profile page....
**EDIT
Ok, so with chrome, comodo dragon and internet explorer, I got the same thing, only the option to "add as friend" on my friend's profile page... BUT this was while I was using the incognito and inprivate browsing options.
When I changed over to normal browsing, each browser had the normal options on my friends profile page.... "remove friend" "send message" etc.