One, your gym really sucks. Two, switching around with different rep schemes won't significantly improve your strength, especially in rep ranges like 12. Doing DB's 3x12 is mostly just a way to add volume. That's a hypertrohy protocol. Matter of fact, your triceps could be holding you back because you hardly ever did the same exercise or rep range for them twice.

If your sticking point is in the middle part of the lift that may be a sign that this is the case.

Switching around to different rep ranges (aka Waterbury, huh?) is a good way not to let the muscles become conditioned to a certain rep range. And I do believe that you adapt to a rep range way sooner than you adapt to a particular exercise. But if you want to significantly improve strength, you have to allow neural adptations to take place, teach your body to recruit more and more fast twitch fiber as quickly and efficiently as possible, while hopefully making them larger, and you have to keep the rep range in the realm of strength training.

Doing the dumbell presses in a higher rep range may help a little by strengthening some of the assisters but not in any very direct way as far as the primary movers are concerned.

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If you act sanctimonious I will just list out your logical fallacies until you get pissed off and spew blasphemous remarks.