I know for example a singer who had writen the song by his own and he didn't mean a single word from what he sang...so I don't think that Axel needs any doctor.But if you think that the lyrics are really so emparrasing then I think that you mean the lyricist
Of course a singer is not always to identify with the person in his songs. But in most cases, and especially in this category of songs, it is intended. In the particular case of Axel, it is obvious - not only by the lyrics - but also by the interpretation and the staging (his mother being constantly filmed, his boyfriend/brother/manager - whoever being completely in tears) that one wants the audience to believe that Axel himself adresses his very own mother. Otherwise, people would not be touched and the whole setting would be quite absurd.
It's the whole arrangement that is too much and thus odd. There's nothing embarassing of cherishing ones mother. But not so exaggerated, not so dramatic, not so over the top. If a grown up person in a real life situation would express his feelings for his mother in that was, it would indeed be quite a oedipal fixation. But of course he's on stage. So - I'm not judging Axels need for a doctor (that would be quite silly).
The embarassing thing is the fact that the Axel and his team use a very personal subject and display it openly to the public in a very exaggerated way to get the maximum of attention and feelings. That's what tabloid papers also do when they pull out the most personal details of people to get cheap emotions. Or to put in in other words - by overdoing it, it becomes ridiculous.