This is an interesting point actually.
People are always talking about how our board / exec doesn’t show any ambition. I don’t think signing Arteta is particularly ambitious myself. It’s extremely risky with a chance of high reward. But risk and ambition aren’t the same things. Would you describe a guy who bets £100k on 10/1 odds as ambitious or a risk taker?
Signing Rodgers and Ancelotti would give you a 6 or 7/10 manager. We don’t know how Arteta will turn out. Could be a 3, could be 9. Taking a risk doesn’t equate to ambition in my mind.
Ambitious would be trying to approach Guardiola or Klopp with a £25m / year contract. From memory, the most ambitious thing this club has done in the past few years is try to sign Mbappe.