The reason I asked them to follow my train of thought is that I feared I wasn't expressing it clearly enough, which given you response and others', seems to be the case.
Basically, if you want to argue against a ban on Nike shoes, one of the worst arguments you can make is what you just said: that people will always track dirt into the house no matter what you do. (It's a bad argument that won't convince anyone.)
The reason that's a poor argument is that it's simply not true. There actually really are ways to keep people tracking dirt into the house - so if you want to argue against banning nikes by citing a false fact (the false fact that it's inevitable that dirt will be tracked in), you've weakened your argument.
Let's take an example: suppose someone wanted to ban shoelaces, because it's possible to tie up a pilot with them. This is a super easy ban to argue against! It's a terrible ban! But the worst argument you can make is "People will always tie up the pilot and copilot, and banning shoelaces won't stop this." Terrible argument that doesn't achieve the result: convincing someone that the ban is stupid. (The argument is terrible because it's not true. For example, locking the cabin door might easily prevent someone from tying up the captain and copilot: therefore it is simply false to say that people will always tie up the pilot and copilot.)
If you don't think it's a poor, ineffective, argument that won't convince anyone, then go do a field report: go find someone that agrees with the policy (I don't), and convince them using this weak argument that doesn't work. Go ahead! The argument is a bad one that doesn't work, won't convince anyone, and I have no idea why you're defending it. In essence, it's a logical fallacy, like arguing that -2 1 which is false.
I've used your own example with the Nike sneakers, so I hope you'll try to at least see my point of view. To make it explicit: some fitness centers (gyms) ban outside shoes. If they were to institute a policy that you can't enter the changing room if you're wearing Nikes, only formal dress shoes, then it is a weak and ineffective way to argue against this policy to write "But people will wear their outside shoes no matter what you do". Because this is false. (For example, having to show your gym shoes upon entry might be sufficient to keep anyone from working out in their outdoor shoes.)
I've worked with your example and I hope you can see the distinction I am making. I'm trying to help refine arguments to something that works. I hate this stupid ban as much as everyone else here and want it argued against effectively. Thanks.