Parrots should not leave the shoulder so easily, and reduce fall damage

Parrots currently leave the shoulder after a one block drop. this makes the mechanic of having them on your shoulder at all completely unviable. Some of us just want to be able to take our buddies around with us exploring!

So, instead, once a player drops 4 blocks, the parrots should flap their wings and try to hold us up. this wont work of course, but for quarter of a second per parrot, 1/2 a second if you have 2 parrots, fall damage is reduced by half. after this time is up, if the player is still falling, the parrots will detach as normal and the player will receive full fall damage.

I do not consider this to be too over powered, as while akin to feather falling, it is limited in its range, and will not protect from as serious fall damage as feather falling can. if this is too overpowered, then perhaps the damage reduction could be tweaked, or all together scrapped, but it would be nice to see them try and save us, and not detach so easily.