There are a lot of advantages to a neutral, horizontal ascent, but it does take just a bit more skill.
The first advantage is that, if you are horizontal, any motion of your fins does not change your depth. If you are depending on being negative and swimming up, you must precisely balance your propulsion with your tendency to sink; if you get distracted for any reason, you may exceed your desired ascent rate, or you may sink quite a bit. This type of problem shows up when divers learn to shoot a bag underwater, and can't keep their buoyancy right while doing so. If you are horizontal and get "happy feet" while managing a task, all you do is lose station, but you don't change depth.
Second, a horizontal ascent allows you remain in good eye contact with your buddy or buddies. Ascents and descents, when things are changing, are the times when people have trouble. On descent, they may discover an improperly connected inflator hose, or that their gas isn't on all the way, or they may have trouble equalizing. On ascent, they may get vertigo, or a reverse block. If you are facing them, you will immediately be aware of the problem, and it is very easy to stop and help.
Third, a horizontal ascent is inherently more stable, because you are presenting a larger cross-section to movement through the water column.
It really is the only practical way to ascend in a dry suit (unless you are willing to put up with horrendous squeeze, as your vertical position allows all the air to escape from the suit.)
I do rotate to the vertical after the last stop, in order to watch for traffic or avoid coming up into the boat hull. I do not do that if I am swimming in to shore.