If Liverpool loses it's World Heritage Status, will the history of it's football clubs, 800 year maritime legend or the Beatles disappear? No, it won't.
Do tourists care about the World Heritage Status when they think about visiting? No, not really, as all of the above are still there, and will always be there. You go somewhere because they are nice places to visit, and have a great history, not because some organisation says it has a great history.