That's the first thing I thought when I heard this news, I don't know why Real Madrid is chasing this player because they already have enough players for the forward position. I agree with you, the Premier League might be more appropriate for Gyokeres whether it's Arsenal or Manchester United it's the same what is clear is that he will compete with Mo Salah, Alexander Isak or Haaland well if he can beat these 3 players in scoring goals so it makes sense that Real Madrid would be eyeing him in the next season.
There is a reason why Sporting offered Gyokeres to Real Madrid because they think that when this scenario goes well, the club will have more money from the sale of the player. But the fact is that Real Madrid do not need a player like Gyokeres and it's not entirely because they have a number of players in that position but his style of play might not be so suitable with Xabi Alonso's style of play. It's better to choose to play in the Premier League because a number of clubs there really want his services even though until now there is no clarity regarding Gyokeres' future.
Gyökeres is a quality player. Of course, Sporting Lisbon wants him to be transferred for a very high transfer fee right now. Because other Portuguese teams like Sporting Lisbon are constantly moving in cycles to sell players and to add better and younger players to the team. Real Madrid rejected him because he did not suit their style of play, but on paper he looks like a goal machine. Maybe he will be transferred to a Premier League team, but I think they will ask for a very high transfer fee for a 27-year-old.