Here is the actual order. Kind of a funny font for a government agency, lol.
https://www.cdph.ca.gov/Programs/CID/DCDC/CDPH Document Library/COVID-19/Guidance-for-Face-Coverings_06-18-2020.pdf
But yes, it looks like this would override the more relaxed "recommendations" of Orange County and other California counties that do (did) not have mandatory requirements.
ETA: In looking closer at the order, it applies to anyone in indoor spaces or in line to enter an indoor space, or anyone in outdoor spaces where maintaining 6 feet of social distancing is not possible. Both of these would appear to cover the whole of DL. People who are eating at restaurants or swimming do not have to wear a mask, provided they maintain 6 feet of distance.