I actually have an avo tree taller than me that I started this way 10 or so years ago. It is in a pot, and our climate is a bit cold for them, so I move it into the house in winter.
These are normally outside, just hiding from the worst of the winter.
It’s true of most fruit trees as I understand it.
And a bunch of veggies too. Peppers are notorious for cross breeding.
Cross breeding yes - but you usually have edible peppers from the crosses.
Crabapples are what you get when you plant apple seeds. Nearly inedible when compared to the fruit it came from.
Peppers are fruits! In botanical terms anyway.
Vegetable is a culinary term not a botanical one.