What is "current household"?

"waterywatermelon;d-992629" wrote:
Many Simmers on YouTube would say, "current household", and it really seems to be one household.

Do they play rotationally, and one household becomes the "current household"? Why is it named "current household"?

The household you are currently playing. Just that.
Mostly used by rotational players with more than one household. I have many households in all the worlds, having all the packs and about 250 Sims. It's just the one that I am currently playing with.