They will have a fairly difficult time even petitioning a staff member if they are limited to 2 PMs per day.
A new user would use up his two PMs by sending a PM to someone he believes can help him, get referred to a second person, PM that second person, and would subsequently be unable to answer any clarifying questions or advise if troubleshooting recommendations worked.
A necessary sacrifice, in my opinion, given the onslaught that we currently have to deal with. Besides, this encourages the new user to be thorough and succinct in his/her initial petition, so as to not waste his/her PM. I believe this to be a good thing.
Also, any staff member can whitelist a new user, so there should not be any need to refer the new user to another staff member.