Athletics affect your resistance to being showed i think, not sure it got implmented but i know it was being discussed, so it is dependent on your strength stat, wich is a good thing...
As alot of people pointed out in this thread, it sohuld be a action and not bonus action... and hopefully we will see this fixed in august !
Athletics affect your chance to shove and your chances not to be shoved.
Acrobatics influence your chances not to be shoved if higher than your Athletic bonuses.
The weight of characters affect both. I agree that what's happening "off screen" is working well.
For trash encounters, you don't necessarily need to throw enemies off cliffs to win. You can simply shorten the duration of the fight, save some resources, and still have fun. However, if you do push Minthara off, you would indeed miss out on a significant loot. It's a trade-off that players need to consider when deciding whether to utilize the shove mechanic in such situations.
This may be true, eventually... but it's all about metagaming.