Is "time zone" even the correct term when we're looking at a different frame of reference? "Welcome to Hawaii, each day here is 23.4 hours." I thought the article would be about how the lunar day is 29.5 Terran days.
Apparently so!
https://www.ipses.com/eng/in-depth-analysis/standard-of-time...
It's also a non-issue for most applications since it's usually possible to figure out the current year with a precision of at least 9.8 years.
An interesting question is what the frame of reference for this time is - if the Moon's orbit changes significantly and the contraction factor changes, then this timezone shouldn't be adjusted - almost "de-pegging" it from Earth's time, right?