Almost 20 years Arsenal not winning Premier League tittle yet after last trophy won season 2002/03, indeed success finishing 2nd position standings last three season in a row looks not enough as tp fourth premier league team have waiting longer time to win Premier League tittles. So far after The Invincibles premier league winning at season 2002/03 Arsenal only winning FA Cup and EFL Cup, not only have poor performance at domestic league but also Arsenal not winning yet European trophy such as Europe League or Champion League.
Arsenal have been improving their quality and competitiveNess recent seasons with Arteta but it is clearly that their growth is not too steady. The last season is somewhat decline of Arsenal performances in Premier League and this means they must improve a lot in order to participate in Premier League title next season and not only this, they need to win a title.
Liverpool are preparing for a next season we'll, Manchester City will probably return to the race after their crisis last season and perhaps Chelsea will join the race too. Arsenal will likely have more title competitors in a next season so if they won't improve considerably, they will become an outsider of title race.
Arsenal have only really built a better team in the last 3 seasons with Arsenal and it must be admitted that the competition in the Premier League is very fierce and it is not easy for Arsenal to win the Premier League title.
Regarding the competition of several top Premier League teams for next season, it remains the same as last season, initially all teams will have their own targets and prepare the team to be better regardless of whether it will go according to plan or not, but at least they have the same goal.
Arsenal will still be favored to stay at the top, but seeing them not being so aggressive in this transfer market makes me a little doubtful that they can be better.
For Manchester City and Liverpool, they will most likely be stronger next season and for Chelsea next season I think they will make a surprise.