It's an old liberal trick, parse in order to misdirect.
I am not bound by the Constitution to honor your Second Amendment rights on my property.
You, on the other hand, have NO CHOICE, but to accept my rules for access aotherwise you are not allowed on my propery.
The Constitution binds the government, and limits the government's actions.
"I am not bound by the Constitution to honor your Second Amendment rights on my property."
No, you aren't, in you private home.
If you have a business parking-lot open to the public, then, yes you are.
If you own a business parking lot, you have every right to fence it in, and require EVERY car that enters to be searched before entry.
Your company would turn to crap, and go out of business, but does anyone really care?