I was not taught this, rather I have tried both ways, and find that:
1. The suit when used for buoyancy control can trap air (especially in the legs).
2. The suit does not vent air as easily as the BC. To vent quickly one must compress into a ball and squeeze it out.
3. The venting control on the suit is a bit more tricky to manage. IOW's close down the vent at depth, and then one must remember to open it during ascent. But if you open it too far, it may dump more air then desired.
4. The BCD is designed for buoyancy control, so why would one NOT use if for that purpose. I think the saying is BCD's are used to control Buoyancy, and drysuits are used for exposure protection. Why would one want to use an exposure suit as a BCD?
5. The BCD will vent air more easily, and I think one has more fine control.
6. The BCD does not trap air as easily even if my Ranger is prone to do so.
I don't really add a ton of air to maintain buoyancy control, so my biggest mistake on my first couple of dry dives was to add too much air to the suit.
Now I just put in a few squirts as I descend to keep the squeeze down, and then dive as I normally do which means I use my lungs for finetuning the buoyancy, my BC to stop the initial sink (if necessary) when I am getting near my target depth, and a bit of air in the drysuit just to maintain comfort.
The trick is to add air to the suit often when decending before adding air to the BC. If you wait until you are at 75feet with an 80foot bottom, and sinking to fast, and then start to add air to the suit to eliminate squeeze, you are going to hit the bottom before you can get your buoyancy under control. So I add a squirt every time I start to feel a squeeze, and then add air to my BC as I would normally dive. Once at the target depth, I may add another squirt to the suit if I feel vacuum packed after stopping my decent with my BC and lungs.
I use a Bare-Nexgen if that makes a difference. I think diving Neo maybe a bit more effort as it's a more buoyant suit, however I have not dove a Neo suit, so I'm basing the last comment on discussion with others.
A more important question for a new Drysuit diver maybe what do I do if I end up with air trapped in the legs? This can result in an upside down out of control ascent if one is not careful. What I've found that works is to tuck, and roll. Make sure the vent is open so air can escape.
Another important question is where should I set my valve. I'd suggest for new dry divers wide open if using the BCD for buoyancy, and full closed if using the suit for buoyancy. I now dive with it about half way open, and I use my BC for buoyancy.