I've heard people talk about how gothamites probably assume the Waynes are in the mob and I think it would be funnier if that made more people (including villains) want to be in their good graces.
Goons often try to make a good impression when they're assigned to kidnap a Wayne coz they want to gain their respect while others hide so they don't get a hit put out on them. More then once a goon has brought a CV with him to kidnap Bruce coz he heard the mob pays well. Bruce just gives them jobs at WE.
The penguin would definitely want to form connections or make deals with them. When Bruce insists he isn't a mob boss Penguin thinks he's either playing dumb or he's just being used to launder the money and one of his kids is actually in charge. Tim definitely plays into the crime boss persona sometimes and is Penguin's primary suspect for the ring leader. Jason is offended that no one thinks he "gives off crime boss vibes" and almost reveals his identity in frustration.
Joker's people have also either try to hire them or form a partnership with the Waynes to get more manpower but batman always ruins those schemes prematurely. This isn't particularly unusual for batman to do but the fact that it's a near guaranteed fail indicates that there might be a mole working for Wayne, perhaps the butler, but they don't know enough about the Wayne's businesses and power to throw around baseless accusations. Besides they much prefer working with local trustworthy rogues like Matches Malone anyway.
The only villain really mad about this is Lex Luther coz now Bruce has more money, hair AND street cred then him.
