Well, sure, if you wanna be a killjoy... Anyway, how would it break the line between Batman and Bruce? All he would have to do is make a public announcement as Bruce Wayne that Wayne Enterprises was entering a new partnership with the Island of Themyscira, for the purposes of spreading international peace and goodwill. There's nothing to link Batman to that - he hangs out with Wondy as part of the Justice League anyway, and it's not like the two of them would make public appearances. It actually might help bolster his secret identity - if a visitor to Wayne Manor happened to stumble across Bruce and Diana hanging out, they could simply say that they were having a business lunch or something. Diana has no secret identity to protect, and if Bruce Wayne is involved in a business venture with her country, that's a perfectly legitimate reason for the two of them to spend a fair amount of time together.