Agree with the poster above.
For me, the tree is not along the lines of a moorti of a deity. In the eyes of some it may be but it comes down to the person.
I am not trying to take part in some ritual, if I was I'd just be straight forward and do it and not beat round a bush (maybe you see it and I don't).
Maybe I'm not at your level Only Five, a tree is currently not affecting my avasta (or lack of it). Years of exposure to elements of other faiths has not chipped away at my faith, it has cemented it over time.
As far as how a tree will effect my children, having been exposed to this all my life and still being sent to Punjabi classes before I started state education, being sent to Santhia classes, attending camps as a camper and then organiser for around 2 decades; I think I can confidently say my folks ensured we knew who we are alongside being exposed to the traditions of the country I was born and growing up in.
I hope to emulate what they did, I mean what's the worst that's happened?! I have a tree, it could be a lot worse!
(I could be at the Gurdwara lighting candles/divas on Bandi Chor Diwas!)
Jesting aside, I do get your point (Only Five) but don't agree that some tree worship ritual is taking place at my house.