The market mechanics trades tend to have no recoverability if you miss the opportunity, so you’re often trading out in error and it’s a matter of trying to stem the loss on a position that you do not have an opinionated value signal on.
And there’s definitely an angle to inbound processing speed for both styles of trading, with differing levels of sensitivity depending on the time horizons you are attempting to predict or execute against. Using the example above again, detecting the arb opportunity and firing quickly is obviously paramount, but if you’re running a strategy where you have a 1 minute predictive time horizon sure, there’s some loss that can be associated with inefficiency if you aren’t moving quickly and someone else is firing at a similar signal, but generally speaking there’s enough differentiation in underlying alpha between you and any competitors that the sensitivity to absolute speed isn’t as prevalent as most people expect.
Basically it boils down to going fast enough to beat the competition, and if there isn’t any you have all the time in the world to make decisions and act on them.