They remained active so far, but I had a late session yesterday and I deactivated them to end a few small objectives and then activated them back and that could have happened after date change; I will keep them activated now until I'm back playing tomorrow to be sure they are active when the date changes.
I can make one soon enough.
EDIT: Just to be sure we get it right. The part where I said Weekly Crafted Objectives has a typo I wasn't correcting myself, the typo is in the game. Judging by the names of all the other objectives and names of categories (builder, crafter, defender etc.), I concluded the mentioned objective was meant to be called Weekly Crafter Objectives.