I've tried every scenario with break cues, not break cues, regular players to break, etc.
If you have a reasonably well constructed cue with a break-appropriate tip on it, you are not suddenly going to see a giant increase in your break *power*. Honestly if you get a 5% increase, that would really be something (and unlikely). However, there are a couple of areas where you definitely will see a benefit:
1) CONTROL!!! Some break cues (Predator, OB, not sure which others) have low deflection shafts. This is actually a huge benefit on the break. Because we are hitting hard, and often with non-standard technique (compared to a regular shot), there is no chance of being as accurate on the cue ball. if you hit a bit left of center, for example, you may deflect the cue ball quite a bit to the right, resulting in a less than square hit. To me, 85% of the break *quality* is how *good* you hit the head ball, not how hard. A low deflection shaft really may a tool that is best used on the break!
2) Reliability. By using a dedicated breaker, you remove some of the punishment that your tip sustains. You can also use a tip more appropriate for breaking on the breaker, and your favorite playing tip on the player. Looks like you already have this benefit, so you won't gain much there.
3) Balance, etc. A cue like the BK3 has a balance that favors breaking. I actually like the BK2 better in this regard. Still, it is nice to have the weight a little more in the rear of the cue. This is so that if you swing off line, you are still moving the mass of the cue, rather than moving the cue *around* the mass, if that makes sense. Also, if you like breaking hard, the BK3 in particular has a great finish on it for breaking...the smooth satin finish extends all the way down the shaft and back up the butt all the way to the handle. This means if you are like me or any big power breaker, and in particular have the style of keeping your bridge hand glued to the table, (think Shane, Thorsten, some others), and have a long follow through, it helps eliminate binding on your hand as you follow way through. I actually have a burn mark on the biggest knuckle of my left thumb from breaking (with other break cues).
In your case, I think the main benefit will be better cue ball control, specifically if you go with a Low Deflection cue like Predator and OB. I have a BK3 and a hybrid X Breaker butt with OB break shaft in my case at all times. The BK3 for certain hits the hardest, and offers excellent control. The OB setup offers a better balance (thanks to me) and feel (thanks to Samsara and OB), but maybe doesn't explode the rack quite as well. If you break very hard, the difference in speed doesn't matter. If you, like the majority of people, do NOT break as hard as you would like, the BK3 really shines. No other cue I've tried has such a great result when you put it in the hands of say a girl that breaks 16mph at her best. Somehow, it just delivers RESULTS. Balls go in!!
Hope this helps. PM me if you want more info.
Edit: Here is me breaking with the X-Breaker butt/ OB shaft at Snookers. If you break like this, the two cues I mentioned will be phenomenal. This break is at the 8:00 mark, and I hit it 18.4 mph.
https://youtu.be/YONMFmjVXFc?t=8m
KMRUNOUT