I don't think Osimhen needs to prove anything in his Turkish adventure. I'm sure he would like to be top scorer too, but I don't think he has that pressure on him because everyone, Galatasaray fans or not, is aware of his quality. This place is like a lottery ticket for him...
By the way, I read in the sports press that Galatasaray will offer Napoli some players in exchange for Osimhen. It is rumored that Galatasaray will offer Davinson Sanchez and Yunus Akgün or Davinson Sanchez and Barış Alper Yılmaz to Napoli for Osimhen's transfer...
Osimhen has made it clear that he is not under pressure and has no intention to start competing for the highest goal scorer in the Turkish. His sole aim is to help the club to succeed. But from his present form, he could win the award.
The Nigerian has found so much love in Turkey and is already enjoying himself. He has confirmed that he is not leaving this January but his future is still uncertain. At his age, he might want to play in the top leagues in Europe and win more club and personal trophies and awards. So if he has a better offer in other top clubs outside Turkey, he would definitely consider moving. The Turkish League is not a solid platform for great players.