I think she could have similar variations, but with different moves.
For example she could cover herself with an ice shield (shaped like an igloo) to counter attacks. She could also freeze the ground and send icicles from above. Or she could have a "fresh breath" move where she breathes cold and that freezes the opponents head.
I'm sure they could revamp her if they really wanted to. Sadly I think they don't.
I think freezing should really remain for Sub Zero exclusively. He can make ice clones and freeze opponents, while Frost could be more of the... tank or trickster. Create ice gauntlets, use teleportation (remember MK9 sub zero intro? he practically forms himself from ice, so Frost could do that too. She explodes or collapses into ice and appears behind opponent). Use slide to either knock opponent, reduce the distance or to enchance certain attacks like superman punch or kick, for one of the variations could have chains ( before you start... scorpion uses spear, not the chain itself) which she could use for long range attacks (not to grab the opponent, but to keep him at distance).
As for ice breath I was also thinking it would be cool, but either it could be used to blind opponent for a short time (like sonya blade kiss blow) or just to be used during fatalities where she grabs opponent, open his mouth and breaths ice inside him.
In short I think instead of using ice to immobilize her opponents, she should better use ice to enhance her attacks and make opponent wish she was freezing them.
Here is the list of attacks I think she could do:
Superman punch: which knocks down opponent (something like what Jax does in MK9). Enhanced version could be Frost knocking opponent backwards and while opponent flies backwards she grabs his/her leg and then turns around and smashes the dude on the floor.
Throw: grabs opponent, headbutts him and throws him on the ground
Special attack: stomps on opponent's leg breaking it and while opponent is screaming she punches him
Special attack2: slides towards opponent and immediately stops while releasing ice barrage from her body towards opponent
X-ray: She slides towards her opponent incredibly fast and smashes him in the face with her ice gauntlet sending him fly, then teleports to another side and uppercuts dude(in jaw area) while he is still in the air. Opponent body rises and does a small arc. Frost teleports again and this time jumps up and does rotational kick. As opponent lands face front he meets up with Frost's feet and we get a brutal kick into the face. Cracks skull and spine?
Fatalities:
1st one:Grabs opponent's head and opens his mouth. Freezes his insides using her ice breath. Opponent is partially frozen so he still kinda "trembles". She makes ice gauntlets on her arms and crushes opponents head with a clap.
2nd: She freezes opponent (with her hands or mouth) from distance. She then slides at high speed towards frozen opponent. When she reaches him she grabs opponent's head and rips it off without stopping and continues sliding. She then stops for a bit and turns around and then slides back at full speed towards the frozen body and smashes it with opponent's head.
3rd: This one randomly occurred to me(made me laugh) and just gonna say it for fun. She creates a big structure in shape of upside down L. Then pierces opponent's stomach with her fist. She rips out a gut and freezes it into huge ice ball. Then throws that ball above the structure and immediately grabs other end of the gut and ties it around opponent's neck. Ball reaches other end of structure and falls down on the ground while at the same time makes opponent rise up and... the dude gets hanged by his guts
So here are my ideas for her. She really has a lot of available options for her. No need for her to copy or imitate sub zero in any way.
