I think, anyway it goes, the dancers who will make it to the final will all be lyrical dancers. Here's the breakdown of the remaining 10:
Girls - all lyrical (or modern/jazz)
Guys - 2 lyrical, 2 hip-hop, 1 ballroom
So the odds aren't great if you're not a lyrical person.
If you're one of the classically trained dancers (ballet, modern, lyrical, jazz), I'm going to say that you would have a much, much easier time with the routines. The only style that may pose a problem is hip-hop (remember, Craig and Melody were criticized for not being grundgy enough) - but the chance of pulling "hip-hop" out of the hat is slim. And even if it's not "hip-hop" enough, the lyrical dancers can usually fudge their way through.
Even ballroom wouldn't be a huge jump - although dances like the Quickstep would require fancy footwork, the lyrical dancers don't have to be reminded about the "top line" (the way the upper body is held).
For the breakers, both ballroom and lyrical pose a major problem. They haven't been trained to maintain good posture during dancing nor have they been taught how to articulate their feet. And since the judges are all classically trained, they know to look for it. Both Allan and Ryan (I think) were criticized for it. To top it off, ballroom is subdivided into different dances - quickstep, tango, samba, etc - so the probability of choosing one of the ballroom dances is much greater than picking hip-hop or lyrical. Ask Jamile - four out of the five dances he did were ballroom.
Here's my analysis-
Artem vs Snow : both are ballroom dancers. The difference? Artem has nice, clean lines (a plus for lyrical) and performs (connecting with the audience and his partner) well. He's able to move from one style to another - maybe not perfectly, but certainly competently. On the other hand, Snow's only dance moves were those ballroom-style steps and some strange arm movements. She may have been the greatest performer (according to Nigel; I disagree), but she lacked technique big time. She didn't even have any tricks to showcase in her solos (neither did Artem, but his movement quality makes up for it). So I'm glad that she's gone.
Melissa vs Ashley vs Melody vs Kamilah vs Destini vs Nick vs Blake : they're all the same. Lyrical, lyrical and more lyrical (although some may be "jazz" or "modern" dancers). They have fairly good technique (guys better than the girls), good performance abilities, but not much else. Even though the judges claim they feel the connection between the couples when they're dancing, I don't. It's just been pirouette, leap, run to each other and pretend to emote, followed by more tricks.
Not to mention many of them have that cheesy talent show expression on their faces when they dance (must get rid of that stupid smile). It's horrendous. And they rely on their technical ability too much (how many times do we have to see Melody do a penchee, with her hip open at that?).
Jamile vs Ryan (vs Allan) : Sorry to say but these guys will be out of the competition. Their freestyle moves are crazy-good and they're great at their form of dancing but it's just too difficult for them to crossover into other styles.
So anyway, I really hope that Artem doesn't get kicked off any time soon. I'd wish that he wins but the chances of that are slim (very slim), especially since the judges love Blake and Nick. As for the girls, I can't say that I care. Sorry, but they're all too alike, which makes them boring.