My old neighbor had a gorgeous screened in addition like those built on just for her cats. I was jealous.
Smellycat (formerly known as Evilcat) is outdoor only. If it's down to freezing at night I crate her in a little dog crate and bring her inside.
For her, it's not a matter of tolerating antics. It's a matter of safety and hygiene. She craps and pees and pukes EVERYWHERE. It's been like that since she was a kitten. She's been to the vet multiple times to rule out UTIs and other health issues. She's just... special. I can't have my kids living in a house that reeks of cat urine and eww. Just. No.
We try to minimize nature damage done by her. We've got 9 occupied birdhouses just outside the front door. They're all screened/blocked off so that the birds can fly through the screen and she can't fit. Incidentally, this also prevents the crows and jays from evicting the songbird babies. So far there have been no fatalities of resident birds.
She is really great at catching and killing non native rats though. One time she killed a litter of european mink kits, which are responsible for killing off our native tiny cute weasels. She's okay with me as long as she stays outdoors.