I imagine that crossloading it is a factor to consider; although in my experience using a pear shaped biner, being pulled up, it is pretty unlikely to crossload. Once it begins its travel with the narrow side facing up it would take a significant jostle to turn it around and then some bad luck to maintain that orientation.
Since we don't work in a place with the luxury of relying on "luck" and what is "most likely"; a captive eye carabiner or even a large mallion/quicklink solves that concern rather easily though with little additional cost or hassle. Also both serve as convenient attachment points for a retrieval line.
I believe using a biner makes it much easier to retrieve, especially on something with heavy bark like a silver maple, a large diameter TIP or anything similar that could generate significant friction. Once you begin pulling it down it really makes a difference.
Definitely not the only solution, just another tool in the toolbox.