yeah, theres something nice about a public garden that I think a private one lacks. A sort of human bond amidst the greenery. I'm a really friendly/outgoing person, so sometimes i'll strike up conversation with the people walking the path with me. The option is there, but I dont feel like I have to. Makes the visits warmer, I think.
I think theres something to be said for ordered and disordered gardens. Of course, botanic gardens are all ordered, for the most part, though some "ordered" styles follow a more disorderly approach.