Washing dishes Asian style vs NZ?

I find this really weird as I never knew there's a different. I'm at my friend's house and recently got complaint about washing dishes incorrectly.

NZ way:

- wash off the food

- soak the dishes in warm soapy water and scrub with sponge

- let it air dry without rinse off the soap

Asian way:
- wash off the food

- have a cup of soapy water. ( we do this to save water, soap and to have a concentrate washing agent).

- dip the sponge in the soapy water and scrub with sponge then dip in the soapy water if sponge gets dry.

- after go over all the dishes, leave the tap water running scrub and rinse again to get rid off all the soaps and residue

- then air dry

And I dont' get it why would you leave the soap chemicals on the dishes, and from both method I honestly don't know what's the different and what's the matter when it seems to get the dishes cleaned. And they got annoyed about it.