I would say it depends on the details of the situation.
If your husband is in any way involved in these household chores then he has some claim in the way they are done.
If, for example, your husband also loads and unloads the dishwasher then how you load it affects his helping out. If, on the other hand, the only involvement with the dishes he has is to make them dirty, then all he should care about is that they are clean when he begins using them. How they got clean shouldn’t matter to him.
I occasionally accuse my wife of wanting things “done for her, AND done her way.” Just my way of pointing out how she’s a bit of a controller. Sometimes I tolerate it, sometimes I poke fun of it, and sometimes I blow up.
If God wanted me to put up with all my wife’s quirks and faults He would give me infinite patience. As it is, I’ve come to realize that my inability to put up with her sometimes may very well be God’s way of telling her to grow up a little. Life is much better now that I quit trying to be the heroic husband.