Ime the one thing fullrange dipoles very seldom do well is, THUMP. They don't have the impact a good conventional woofer box does, possibly because their output trends towards total cancellation as we go down in frequency. On the other hand they do pitch definition superbly, and the big ones (SoundLabs and big Acoustats, maybe others) have a lot of "body" in the midbass region. So they are magnificent for cello and double-bass, but not so good for techno and kick-drum.
One challenge with a hybrid is that the SPL falls off more slowly with distance from the line-source-approximating panel (3 dB per doubling of distance) than from the point-source woofer (6 dB per doubling of distance). One solution would be to use a line array of woofers, as Martin Logan did in their original Statement. The simpler solution is to have a lot of adjustability, and just accept the fact that the tonal balance will not be optimum if you are too close or too far away.
Of the hybrids I have spent a little time with I liked the Monolith the best, perhaps because its crossover frequency was the lowest. But I haven't heard the Statement or the Neolith.