I agree, Philodendrons are not trees. "Tree Philodendron" is a common name because some can have the appearance of growth habit that looks like a tree, such as this one, which especially looks like a tree form since I removed the lower leaves:
They are actually climbers and put out adventitious/aerial roots that will hang down and take root in the ground or reach out to seek a tree or structure to climb. The second photo shows one in my yard that has a couple of roots encircling an oak tree.
