I think you could do both. I have never dealt with children in a lockdown or over Zoom, but mine used to like playing Bingo when they were learning numbers. I bought a cheap game with a globe to put the numbers in and some cards, and we used to have great fun. They didn't realise that they were learning double figures as they played. I can't remember how old they were though - I'm bad at that.
They also liked playing a story relay, where I would start off a made up tale and they would take over in turn to progress the story. It usually ended up with a ridiculous farce, with everyone laughing, but it was good for imagination, and possibly character development.
They could rehearse some sort of show to put on for their parents. Learn a poem, write a little talk, sing a song - whatever they enjoy doing. Get them to write out programmes and make tickets, that sort of thing.
If the older ones are learning about a particular time in history they could make a snakes and ladders game based on the good and bad things about the era. 'Overheard saying bad things about the King - get sent to the Tower' and slide down a snake, or 'Bring potatoes to the Queen' and climb a ladder. You could use the same principle but make 'good things' and 'bad things' cards that they have to pick up if they throw a 6 or a 3. Instead of snakes and ladders they go forward or back a few spaces.