Trees definitely do not need us.
Until they do. Eventually bugs and diseases would kill off huge portions of them. Trees would still be around, but it'd definitely be a different mix than we have now. Right now every ash tree in my state is either dead or dying due to beetles, all the chestnuts died when I was a kid, the native oaks mostly only live where they've been planted because anytime one dies a faster growing maple replaces it.
Hell I've had a little cottonwood tree growing in the corner of my truck bed for 3-4 years. It never gets any bigger but always produces new leaves every spring.
It's incredible how our minds are unable to grasp timescales greater than a decade. It dawned on me recently. I visited a place that had trees which were roughly my height 10 years ago. It's a genuine forest now.
Trees are perfectly fine with those timescales. Let them be and they will grow.
Another mind-blown moment was when I was visiting a park in Warsaw. Seemed like old-growth forest - little do I know! There was a display nearby which shared, that during WWII, the Nazis cut the park clear because the opposition was hiding in the trees. That was less than 100 years ago.
Small ones, big ones. They're just everywhere.
"See that park over there? Someone put every one of those trees in the ground."
Then, as a corollary, one day, a parking lot has several dozen trees. Next day, they're all gone. Week later, a bunch of new ones are back. Guess the old ones were just getting too big.
Friend recently had to take down a 100 year old tree. Was just getting potentially unsafe.
No doubt they'll stick another one in there, and leave it. It'll be there when they pass.