You're missing one very important thing. That 6 round burst has 6 times the recoil of the individual shots, so even though you have more time to compensate, you're putting 6 times as much mass downrange at the same velocity, so you have a LOT more recoil to compensate for.
You have not fired a fully automatic rifle, have you?
If you press the trigger on an assault rifle and fire off... let's say 8 bullets and then you clock the time it take to stabilize the weapon to get your iron sights on target again. Then you fire off... lets say 24 bullets and clock the time it take to stabilize the weapon to get your iron sights on target again. The time you need to stabilize the weapon between bursts will roughly be the same. It does not take x3 as long time to stabilize the weapon even if you fired off x3 as many bullets.
The FA burst character takes 2 burst shots each having a duration of .5 seconds each, leaving 1 second between shots.
We are still comparing SA burst (3 bullets) with FA simple action short burst (6 bullets), yes?
Using your numbers:
FA simple action 6 bullet burst
time in seconds, action
0.00 start of first action phase, start to fire first burst
0.50 done fire first burst
1.50 end of first action phase, does not fire in second action phase
3.00 end of second action phase, start of third action phase, start to fire second burst
3.50 done fire second burst
4.50 end of third phase, start of fourth action phase, does not fire in fourth action phase
6.00 end of fourth action phase, start of fifth action phase, start to fire third burst
SA Burst
time in seconds, action
0.00 start of first complex action, fire first bullet
0.50 fire second bullet
1.00 fire third bullet
1.50 start of second complex action, fire fourth bullet
2.00 fire fifth bullet
2.50 fire sixth bullet
3.00 start of third complex action, fire seventh bullet
Using your numbers, there are 2.50 seconds between the last bullet of the first burst and the first bullet of the second burst and 0.50 seconds between bullets when using SA burst. In this example we have x5 as long time to recover between bursts when using simple action 6 bullet FA compared to using complex action 3 bullet SA Burst...