If you look at the rumors circulating, Arsenal is indeed very focused on bringing in Gyökeres so they are not rumored with other strikers, I am also sure this will happen.
Arsenal has built a team by spending a lot of money in the last few seasons so I think we don't need to doubt that they will do the same in this transfer market to cover next season, even though they haven't won any trophies in several seasons, Arsenal's management looks quite serious about developing this team.
Arsenal do need a striker, and it seems they will focus on bringing in Gyökeres. There is even news that he is willing to take a pay cut to transfer to Arsenal. If that is true, then something that the player really wants to develop his professional career.
The problem is related to Sporting, who really want to sell Gyökeres for a high price. If the deal happens, Arsenal might perform better this season. Everything seems clearer now, let's just wait for their official announcement.