Looking similar and being a copy-paste is not the same thing.
Jesus people.
And the "Bane" rush is a trope for big brute characters and grapplers. Ways to close the distance while also attacking, shit is fucking common, and most of them look the same.
A shoulder, a run, a punch, a tackle, a grab, doesn't change much from that in any game.
Hugo has a running Lariat
Jax has the jumping dash punch
Doomsday had the shoulder barge
Bane had the run
Balrog has dash punches
Q has dash punches
TJ Combo has dash punches
Marduk in Tekken has a running shoulder and a flying tackle
Cerebella in SkullGirls has a ram horn tackle
Kahn has a shoulder rush attack in MK9
Kratos has a run attack
Superman has a flying punch
Lex has a charging body check attack
Zangief has a running grab
Hugo has a running grab
Sheeva has a running grab
Cerebella from SkullGirls has a running grab
King, Armor King, Michelle Change, and Julia Chang all have running grabs
Hakan has a slidding attack
Abel has a should rush attack in SFxT
And the list goes on, if they're in a fighting game and their main thing is big damage and/or grappling and medium to slow attacks then they'll probably have some kind of running attack or half-to-full screen movement attack.
It's just a thing to expect, it has nothing to do with Injustice and the animation doesn't even look the same.
PS, that psycho crusher scorpion did was obviously a part of his X-Ray attack, what the hell? How did you not notice that it wasn't just a regular attack?