You somehow wrote that without answering my fundamental question. Do I have the right to say that you can come in, but you can’t bring your gun? It has to be yes or no, there is no wiggle room here. I either have that right in my own house, or I do not. Which is it?
Sure, (or if you insist "yes") you have the right, the freedom of speech, to say that. And you might have the right to enforce what you say. But am I obligated to comply with what you say absent that enforcement, and why am I so obligated?
It has to be yes or no...
No it doesn't. There are circumstances under which I would be obligated to comply. I won't list any because I asked you "why am I so obligated" above. But if say, you are a known pedophile and I see you go into your house with a child of mine, I maintain I have the right to go onto your property, even into your house, and "inquire" about my child, even if I am armed without your permission. In some situations, the same goes if I know you have stolen personal property from me and stored it in your house.
I either have that right in my own house, or I do not. Which is it?
One person's rights end at the point another person's rights begin. Your "real property" rights end at the point my other right of some sort begins. (For instance your property right to limit my freedom of speech ends at the point my freedom of speech to say "no" to your sexual proposition begins.)
Sometimes disagreements exist as to where the point is. We have laws and courts to settle such disagreements. Otherwise we'd settle them with clubs, sharp instruments, guns and so forth.