I can't help, but notice insane amount of negative reviews, bashing the game for all sorts of gameplay issues, i.e. constant crashes, unfair AI etc.
I played the game for couple of hours offline, so don't pay attention to time record, and I didn't experience a single crash (played on Win7 64bit, CPU: AMD, GPU: NVIDIA) I should try to play online a bit, if crashes occur - I'll update my comment.
My only real complaint for current is the lack of controller support of any sorts.
Also I haven't find AI cheating at all. I admit, the enemy pretty much owned me at first, but, understandably, I accepted all my failures, because the board layout completely differs from original PQ series, so it takes time to learn the predictable patterns for falling tiles (truly, as the story take place in zero-gravity space, new tiles can be falling from all directions, not just from up-to-down)
So, once you figure out how the board works - the enemies would become no problem. And learning new puzzle mechanics is always fair and interesting challenge.
Speaking of the space setting: that's another thing you can easily praise "PQ: Galactrix" for. They have successfully managed to rework the whole mechanics of the original game and blend in the usual space fiction tropes with new gameplay features (say, for example, aforementioned zero-gravity battle grid with tiles falling from all directions or the mandatory for space games mining business, that was combined here with useful weapon crafting or selling the extracted minerals to the star systems, willing to pay the best price per ton.. Or selling the cargo cheaply to a hostile race to buy their loyalty)
The game atmosphere has heavily reminded me in many ways of "Space Rangers" - another game series I love very much.
Surely, Galactrix is a nice spin-off and worth at least the summer sale price, which is what I bought it for and thoroughly enjoyed playing the game - I'd say, give it a shot.