One could argue that using anti-competitive laws to prevent people from controlling their platform for their own benefit, is in itself, anti-competitive.
I use my car to get to work and run errands. You could argue that my car is my platform, which I use for my benefit. Is it anti-competitive of me to not go out of my way to pick up other people and take them to their jobs? Would that be covered in the "Sherman Anti Trust Act of 1890" (Yes, I am familiar with it...), as the act was intended? I doubt it. You are of course welcome to disagree. I'll be expecting a ride to the grocery store tomorrow, and even if you have errands to run, we need to run mine first, because if you prioritize running errands in your car over mine, you are being anti-competitive, and that isn't fair!
If I went out of my way to prevent others from getting a car so that I kept an advantage over them, that is anti-competitive behavior.
Anti-trust laws were written to protect the public marketplace. As far as I'm concerned, the Apple app store is a private marketplace that Apple can do with as it sees fit. They can delete it today if they want, but that's just me.