So I installed Synker and purchased the unlock key to get the integration with Tasker.
It's pretty simple.
I set up a task like this:
Create task (ex: Weekend Sync Task) > Plugin > Synker - Auto-Sync Settings > Edit > Select the accounts you want synced or not synced during the weekend.
Create similar task for weekdays.
Then I created two day-based profiles to run the tasks.
Maybe not the most efficient way, but I'm still learning Tasker. It should work for me.