Placing a line over a branch to hold a pulley , that then holds a support line, has a 4x potential loading on the supporting branch. That loading would statically by less by frictions and non-pairallell lines to the bend in each line (lines to pulley and to branch). Dynamically it is less these frictions and open angles, and also less the elasticities/deformations of the lines and support. For, if these give up distance, they don't resist to give equal and opposite power, giving less loading..
A false crotch, would be a choked sling, holding a pulley, and only have 2xLoading potential. This can even be done remotely, by inverting a sling into a choked position with another line. Even though this places another leg of line to ground like the 4xLoading potential, this leg isn't loaded in use, only in installation and removal.
MTL:Remote False Crotch shows this with a ring and line, that could just as easily be a sling and line. But, more commonly in our work is a Bowline on the end of a line, so that the pulley and rig line is krab'd to the Bowline as support. If doing this, it is best to have a DBY type Bowline for strength and security. But, further more we should realize that a Bowline is usually constructed to pull inline with the length of line to it; but in this case THE PULL IS ACROSS RATHER THAN INLINE to the length of line. Therefore, it is recommended, that we too, the turn the LOCK OF THE BOWLINE sideways, to suit to be as empowered and as positive to task. So, therefore we should make a
Jacked Bowline that locks better from pulls across the Bowline ring, rather than down it's length. When working mechanics in remote positions,we should all ways and always make sure, this uninspectable position is even more super secure etc. (by positive mechanics)than usually.