yes you are right. And maybe Newcastle will be at a level closer to Man City next season. What I like about Man City is when they target a player. then they will try to get it to the maximum even at a higher price though. Now the difference between Chelsea and Man City is here. That is, we know that in the transfer market before last season started, we witnessed a phenomenon where wealthy clubs gave up too easily in the race for players. even some players didn't get Chelsea just because Chelsea acted as if they were having financial difficulties even though they were a rich club. but they dare not pay more for the players they need. and on the contrary, the big club from Spain, namely Barcelona, they were currently in a financial crisis, but they still dared to pay high prices to get the players they needed. and this paid off with Barcelona's success in lifting the Laliga trophy. So I hope Chelsea don't save too much money in the upcoming transfer market. because this club really has to have a lot of changes in the club and of course it costs a lot.
Keep in mind that the clubs aren't pretending they are poor or anything like that. There is too much information available about the new owners anyway, like in the case of Chelsea. I think they are more afraid of getting wrecked by any Financial Fair Play rules although I have no clue whether those rules are even applied considering that Chelsea invested over half a billion within a single year. They invested over half a billion net in transfers, not that they also sold players and they could deduct some of that sum. It could be negotiation tactics, but in the end other clubs know as well what Chelsea is able to and what their max would be if they want a player.
You say that you hope they don't save too much money in the upcoming transfer market. Did Chelsea ever save too much money? That must have been in a time before I was born.

Do you not remember when Chelsea continued to experience defeat in the hunt for players in the transfer market before last season started. in fact everyone seems to know about Chelsea who always dared not pay more than other clubs at that time. So that many players failed to get by Chelsea in the hunt for players in the transfer market at that time.
But when Chelsea got a new coach (potter), then only then did I see Chelsea spending a lot of money to buy a lot of players in the mid-season transfer market. And I even thought at the time 'why didn't Chelsea do this earlier in the transfer market? (spending a lot of money to get the players they needed before the season started). because getting a lot of players in the middle of the season isn't it a bit late then?