Do you have more information on this? My understanding was that you couldn't use the same credentials, instead registering a phone number for this.
I've also been able to log into the Messenger mobile app without giving them a phone number (I was prompted, but not required at the time to enter a phone number). This all happened back in July of last year, so if the mechanism has changed since then, it's entirely possible you're correct that a phone number is now required instead of optional, as it was for me-and everyone else before the change and we just got 'grandfathered' in. Maybe?