IMO, there's definitely an advantage to a beam with higher candela for SD purposes. These beams are characterized by a more intense central hot spot and lower intensity spill.
I've heard it said that a high-candela beam is not as good for situational awareness. Based on my own experience, I do not believe that is an absolute truth.
While a brighter spill better illuminates the space in your peripheral vision, it's a fallacy to believe that high-candela beams have no spill at all and greatly hinder SA compared to a wider beam with brighter spill. In fact, even the 70,000 candela/650 lumen Malkoff E2XTD head has a bright enough spill for human vision to see what's there.
Photos depicting beam patterns are not good indicators of this. The human vision system can see detail in scenes with contrast ratios 10x greater than a digital camera sensor, so what might appear completely black in a photo is actually bright enough for human vision to discern detail.
There's also the discussion of photonic barriers and how more candela can help overcome them (video).
One challenge with using a high-candela hand held light with a pistol is aligning the beam and sights on the target. I find that if the sights and hot spot do not align on the target, my eye gets drawn to the hot spot of the light. With enough practice using your preferred hold, this challenge is largely mitigated.
Finally, the higher the candela, the more blinding it is to someone looking directly into the beam. So not only can a high-candela light better overcome photonic barriers, but the more powerful of a photonic barrier it can create.