I think, if it were called a "neutral entry", I would not have had any question on the subject. That appears to be the goal anyway (hit the water ready to dive, not ready to sink without command).
Calling it a neutral entry would reinforce that the goal is not to be too heavy at splash-in. A diver with big tanks, who sucks all the air out of the BC prior to entry, could easily get too negative to arrest the descent in an emergency. For example, twin 120s would be holding over 15 pounds of air. Add to that the loss of buoyancy from the suit that will happen by the time a diver realizes there is an issue, and it could be too late to recover without dropping lead (which seems to not happen in some cases and for mysterious reasons). So, there are circumstances where a diver would do better to not remove all the air from the BC, but to aim for being close to neutral. Neutral may require having a measured amount of lift in the BC at the start of the dive.
It's too bad that the term "neutral entry" has little chance of catching on, but it would be good if it did.