In our household, we have trilam, compressed neoprene, and regular neoprene dry suits. This is my take on the matter:
Trilam is lighter and easier to pack up. It dries faster, which is important if you are travelling with the suit, but otherwise doesn't make a lot of difference. It is easier to move around in a trilam suit if the suit fits correctly. You can vary the undergarments according to the water temperature, so the suit is useful if you dive an area where water temperatures vary a great deal with the seasons. Trilam is not difficult to puncture, but is pretty easy to patch. There does come a point, however, where it is impractical to layer more undergarments under a trilam suit, both from a mobility standpoint and from the weight penalty involved.
That's why I own a compressed neoprene suit as well. The compressed neo is heavy and dries more slowly (hanging overnight in a hotel room won't do it). It doesn't pack up as well. It is more rugged -- We haven't had to patch either of the compressed neo suits yet, so I don't now how it is to repair. It is SUBSTANTIALLY warmer. There is a weight penalty for changing to the compressed neo -- It cost me four pounds. Mobility underwater can be more difficult. Although the suit material does stretch, you can't count on that to give you access to your valves. And, unlike with trilam, extra material built into the suit fit doesn't collapse as well around you, and carries a weight penalty. There does not seem to be any signficant buoyancy change with depth with the compressed neo, unlike the full neoprene suit.
The full neo suit is by far and away the warmest, but also the heaviest and least flexible. There is again a weight penalty for using it, and it has significant buoyancy changes with depth. My husband has found managing the expansion of the neoprene AND the venting of his suit to be a persistent challenge, and he doesn't dive that suit unless the other one is in the shop.
One family's experience, but there are our data.