Wait, isn't the point of teaching the OODA loop to avoid maintaining a legible OODA loop? As I've been taught it, OODA loops are a means of modeling and interfering with adversaries, not a tool for organizing yourself.
Both sides have their own OODA loops. The phrase you hear a lot (Hollywood loves it) is: "get inside their OODA loop", which means to execute your loop faster than theirs so you are responding & acting to your observations before they can respond & act to theirs.
It may be that one side's OODA loop is dysfunctional - perhaps they have to wait on higher headquarters to respond, or has an indecisive leader - before acting and that introduces a delay that an opponent can take advantage of.
How to get a tighter OODA loop? Practice. And modeling/war-gaming in advance any potential actions so your responses become automatic. Or at least "good enough".
The one who is most flexible and has the best ooda loop when under pressure.