Feels pretty 1:1 to me. Both work to define a model & state (shared observe), both seek to identify ways to improve the model and/or state (orient/hypothesize), both take real world action to secure those improvements (do/act/test), both have ongoing feedback.
OODA may be more rapid and strategically oriented (haha), but they’re doubtless the same methodical approach at the end of the day.
I claim it’s scientific method having multiple pen names simply because scientific method is older than PDSA & OODA from late ‘50s. If OODA loop came from Sun Tzu, I’d say it’s all OODA loop pen names.