I see your point, but some players should be honest with themselves and sign with the first team that gives them an offer, without really trying to be too precious.
What difference does a coach make to their game? A good player should be able to adapt to different coaches throughout their career.
Club stability is a different matter: I understand a player who is is reluctant to sign, if the future of the club is uncertain.
(I hope Ingham will go anyway)