On occassion it works, but vast majority of cases both the filtering on search page and scout reports will be accurate on that. Basically , until your club reputation hits Global, you're gonna struggle with that. Even then, the league reputation seems to be big factor as well.
Occasionaly they'll get upset with their club in the meantime, and yeah sometimes inviting on tests seems to work.
Me i just edit the reputations in FRMTE, the whole reputation system just doesn't work well and makes whole transfer aspect of the game unrealistic.
Offer a guy 10x more wage then he has, first team football in champions league winner, state of the art training facilities, support of 80000 fans on every game, but he's going to prefer to play in TinyVille, because my club is not big enough? Give me a break.