For the sake of discussion as I am not a knot scientist, it seems to me
that the important factor is you cannot climb a ladder to be at branch
level to tie a knot … so if it were me, I would put a loop knot at the end
of the rope ( your choice of loop ) … (For my whole life I just used overhand
knot loops as you dont lose too much rope when you have to cut the loop
off) then throw the loop end over the branch and coax it back to the
ground where you can thread the other end through to form a lasso.
Now all you have to do is pull and shake the rope to get the lasso loop
to rise and tighten around the branch.
The problem being later when you want to take the rope down… you will
have to get up to tree branch level.
If I could climb a ladder to reach tree branch level,
an unsophisticated person that did not know any fancy knots like
me would put 8 or 10 turns around the branch and finish by adding
a half dozen half hitches followed by an overhead knot to use up
the extra length of the tail end. Not real pretty but effective and
it wont ever come loose and it will be easy to untie.