...I believe it gives that as an example in the book under one gun recoil on page 177.
In the example Wombat fire a single shot in one simple action, then he use his other simple action to take cover.
In the next action phase he use one simple action to take aim "...which removes the effects of progressive recoil and reset hit recoil compensation back to its initial 3 points..."
So if you go by the example alone the recoil reset after you spend 2 simple actions in a row not shooting bullets no matter if they are in the same action phase or not (then again, the example does not say what Wombat does with his second simple action in that last action phase).
Honestly the example given seems badly written, no sane interpretation of the rules as written suggests you need to not fire for 2 full Action Phases.
I am not sure if i follow you now. I don't suggest that.....
This might be a better way to illustrate what i mean:
Initiative 11-20
Time Action
0.00 Action phase 1 Combat turn 1. Fire one shot
1.50 Action phase 2 Combat turn 1. Fire second shot after 1.5 seconds. recoil does not reset.
3.00 Action phase 1 Combat turn 2. Fire third shot after another 1.5 seconds. recoil does not reset.
4.50 Action phase 2 Combat turn 2.
6.00 Action phase 1 Combat turn 3. Fire fourth shot after 3.0 seconds. recoil reset.
7.50 Action phase 2 Combat turn 3. Fire fifth shot after 1.5 seconds. recoil does not reset.
Initiative 0-10
Time Action
0.00 Action phase 1 Combat turn 1. Fire one shot
3.00 Action phase 1 Combat turn 2. Fire second shot after 3.0 seconds. recoil does not reset.
6.00 Action phase 1 Combat turn 3.
9.00 Action phase 1 Combat turn 4. Fire third shot after 6.0 seconds. recoil reset.
But take the case of an average person with a pistol. Assuming they only take one action a turn every turn (Very unlikely, but your case). They wouldn't have to worry about any recoil at all until they had been shooting as quickly as physically possible until the third combat turn.
Fire a semi-automatic pistol as fast as you can is 3 shots per action phase. That generate 3 points of progressive recoil. In the second action phase you would suffer 6 points of recoil. You get 1 + strength / 3 (round up) recoil compensation. To reach 6 recoil compensation he would need a strength of 13. (Good luck with that).
In this case he would suffer uncompensated recoil in the second action phase.
Unless he only have strength 1-3 of course, in that case he would suffer uncompensated recoil in the very first action phase

(note that i don't have a problem with people getting recoil if they fire as fast as they can, taking up complex actions to do so. My issue is when you only fire once. In a simple action).