The dynamics of these lasers is key.
To get fast consistent operation of a pulsed laser diode
you use a bilevel pulse, set such that the "low" level is
still above lasing threshold and the high, is your desired
power level. Starting from dark, things can be inconsistent
and slow.
Whether a CW laser responds the way you'd like to fast
pulses, you'd have to spend some time researching and
challenging.
For things like material removal, a pulsed laser's peak
power will ablate while a CW laser's average power may
only warm up the workpiece. Like trying to pound a nail
by pushing on it with your hammer. Same hand, same
tool, different result.