I'll weigh in with a quasi legal analysis of this debate about situations in which the shop screws up your mount.
Various state and federal laws govern many kinds of implied warranties which exist even when there's no contract or warranty on paper. The primary one at issue here is what's called an implied warranty of good or proper workmanship, which means the work has to be done according to prevailing standards of workmanship. The prevailing standard of workmanship here is essentially just mounting the bindings correctly according to manufacturer recommendations and/or the customer's request to have them mounted in a specific and unambiguous place. Clear-cut examples of breaching the warranty would be things like:
1) The mount is somewhere it obviously shouldn't be. For example, there are two mount lines and you ask for one but get the other; or there's a single mount line but the bindings are mounted elsewhere and not at the customer's direction.
2) The mount violates a manufacturer or industry standard spec (e.g. it's crooked, backwards, etc., generally in some way that affects performance or safety)
3) The tech just messes up and has to do a second mount.
There are also instances in which mounting problems are at least partly attributable to a lack of clear agreement between the customer and the shop about where "center" is on the ski. Unless you say, "I want my bindings mounted exactly here at this marked line" and the shop does something else, they have not necessarily breached the implied warranty. You can argue all you want about how a tech should know that when you say "center" you mean some particular place, and maybe you're right, but not obviously so. That's a disagreement you're unlikely to "win" with a shop and you should probably just accept whatever they are or are not willing to do. You could try your hand at making this argument in court, and maybe you'd win, but that's another story.
In cases where the screw-up is obviously the shop's fault and there's no question about their failure to adhere to prevailing standards of workmanship, we next have to consider what kind(s) of harm you've suffered as a result, since the shop is only obligated to remedy an actual harm. OK, so what are some possible harms?
1) Loss of the money paid for the mounting job.
2) Cost of having the skis re-mounted.
3) Complete or partial loss of the performance (including safety and lifespan) of the ski compared to one that had been properly mounted.
4) Potentially the cost of purchasing new bindings with a different mount pattern.
5) Diminution of the resale value of the ski.
It's patently obvious that "just accept a refund for the mount job and let the shop re-mount" is not a reasonable remedy for any of the above damages *because it fails to compensate you for the harm you've suffered*. Take an exceptionally simple example: The shop screws up, admits its mistake, refunds your money, and re-mounts the skis. I don't think anyone here will argue that the re-mount doesn't diminish the value of the ski at all (at least in terms of resale). So let's suppose the re-mount diminishes the value by some unrealistically low number like $25. The shop owes you $25. End of story. The whole point of laws like these is to make the injured party whole. You either get paid the money you've lost or they return your skis to their original condition the only way possible, which is giving you new ones.
In some cases it would probably even be cheaper for the shop to just give you new sticks than to pay you money damages. In the case of new skis it costs a fraction of the retail price to replace them, it's better for the shop's reputation, and if the shop [incorrectly] believes a re-mount is exactly as good as new then they should be happy to re-mount them with demo bindings and rent them out.
The only reason the calculus often goes the other way is because some shops have learned that they can get away with dicking people around about this stuff, and by the looks of things on the internet, there are plenty of skiers who are OK with that. But that's not how any of this is supposed to work.
