Good. We (Montreal) did that some years ago and nobody misses it - tourists, operator, citizen and very likely the horses too. You think it's a staple until it's gone, then you realize it was just animal abuse for profit.
Also, it is a lot better for tourists than having horses faint or die on the pavement in front of your kids - which is bound to happen more frequently with the weather becoming warmer.
Humans adapt. Even if people miss them they get over it quickly. You get a lot of (social)media articles for a couple of months but after that everyone moves on.