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The Flash duration is shown in T5 times. This is a higher number than the actual usable flash duration, known as T1 time. To get the proper flash speed in use take the T5 time and as a rough calculation, divide by 3. This means that the Bxri has a full flash duration (shutter speed) of around 1/500th of a second. This is where things take another turn.
With studio flash heads, the flash duration is generally fastest at full power. As you decrease power the flash duration gets slower. So by 1/8 power the duration has become substantially longer, hence why you say the Brxi is not freezing action.
Speedlites on the other hand are the opposite. The flash duration gets faster as the power goes down, so it adds another layer of confusion. When using speedlites they tend to have fast durations anyway, but the less power, the faster the duration.
Estimating the true action-stopping potential of flash units is difficult. Multiplying t.5 times by 3x is only approximate, hardly any manufacturers quote t.1 times and they tend to under-estimate in my experience. Frankly, the only way of doing it is to compare to actual shutter speeds and for the Elinchrom BX-500-Ri I put that at 1/900sec at full power, to 1/700sec at minimum (1/16th). The BX-250-Ri has smaller capacitors that dump faster and that gave 1/1300sec at max to 1/900sec at 1/16th. Those numbers are fast for studio heads that don't claim to be 'fast' and most similarly priced/powered units are around double those durations. Elinchrom's t.5 figures for the BX-500-Ri are 1/1558sec at full power and 1/1395sec at 1/2 power; BX-250-Ri 1/2762sec and 1/2165sec.
Speedlite durations are different again. At full power they behave like studio heads, but as power is reduced not only does the flash duration get very much shorter, t.5 times and t.1 times are effectively the same and both are very close to actual shutter speed equivalents.