I wouldn't.
But i could comprehend why someone might think that on the night a visit had been arranged specifically to see the house, that they could.
However, I wouldn't, even then, because it's YOUR house to show off, not mine. That would be a "parent usurping a privilege that belongs to their child" thing, and would have me saying, "this is MY house, not yours! MY life, not yours!"
My MIL used to go in my bedroom and make the bed, after we got married, when we'd invite them to dinner. I had to tell her to stop because she was damaging our relationship, and I wanted to avoid that. But part of my aghast-ness was her going in there at all. Even if the door WAS open (I don't close it, because it makes the whole apartment feel more cramped if I do).