All dog fights spiral downwards toward the hard deck (ground). The benefit of superior climb rates in close combat is negligible. What matters is acceleration and acceleration = thrust - drag.
Wrong... Some WVR engagements start with a high speed head-on pass. Immediately after the 'merge', a pilot can either stay and fight or simply continue straight ahead and try to 'bug out'. IF the pilot decides to stay and fight, he would try to maneuver his aircraft behind his opponent (the vulnerable 6 o'clock position). As both the aircraft turn into each other, it results in a turning fight where each aircraft turns as hard as possible to get behind the other. The sustained turn causes both the aircraft to bleed airspeed and hence altitude. THAT IS WHY SUCH TURNING FIGHTS SPIRAL TOWARDS THE DECK!!
The key factor here is maneuverability, not acceleration. If an aircraft manages to reach the vulnerable 6 o'clock position of the other, then it has an advantage. I fail to see how superior acceleration helps in this type of turning fights (unless you want to 'bug-out').
Moreover, if you remember,
Force = mass x acceleration
So, for good acceleration, we need maximum force/thrust and minimum weight. In other words, we need a high thrust to weight ratio. So having a higher thrust does not guarantee that the aircraft has more acceleration. Here, the Rafale has a clear advantage as it has a higher thrust to weight ratio.
I disagree that superior climb rates are not beneficial in a dogfight. Altitude is always a great advantage in a dogfight as it gives the pilot a perched position above the battlefield and it can be easily converted to airspeed by simply diving on their opponent or by using maneuvers such as a split-S which also helps the pilot to reverse his direction of motion and give him a better position. Having a superior climb rate can allow a pilot to gain altitude more quickly which not only helps in the dogfight, but also helps him to 'bug-out'.
In a dogfight, every advantage counts - and that includes maneuverability, acceleration, rate of climb, stall speed, weapons available, active and passive countermeasures, radar, IRST, low RCS and even the range (which means extended time on station). If acceleration alone was the deciding factor in a dogfight like you, say, then interceptors like the MiG-25/31 should be the best dogfighters, but we all know that is not the case.