If a person is into athletics/sports or just a guy who wants better improvement in muscle size and strength, well beyond the normal average man, than full ROM is a must. And for the most part ,injuries will be avoided.
If wanting to take the muscular development to another level, than work the middle phase only of an exercise. That would also apply to using the TUT (Time Under Tension) protocol. The point of failure is usually avoided in any set. Admitting that some of these exercise styles looks almost laughable, with the quick short middle range reps and with the appearance that the muscles are not nearly worked to there full capacity. But that would be deceiving, muscle tissue in called upon strongly... In most cases, a cheating style is encouraged.
The above is only related to BB'ing and the current exercise methods of some very large and muscular human beings. No lockout or full stretch (complete , by the book, ROM) is every attempted. And not any hint of a pause in the exercise tempo/pace until the desired reps/sets are finished. One would have to experience a middle phase rep range workout, for a few weeks,to understand the current popularity of it. This is not partial rep training, in the original sense, which some may be mistaken with.
As with the original question, I might suggest touching, or use a slight bounce, off the chest each rep. Or, as some others do, start each rep of the bench from a dead stop for 1 or 2 seconds pause rather than starting the normal way from the overhead position. Should get a better pec involvement/stimulation with this version. Seems to help with the overall strength of doing the BP it's self. May need spotters this way or set the pins at chest level. I'll do this dead stop at the bottom with weighted dips, which can work very well. Good Luck.
Side Bar: Never heard the term "Half Muscle" caused by half movements. Creative thinking?