Nice and thoughtful post about cold brew and the Toddy! I did Toddy batches weekly for a couple years and enjoyed the smoothness and convenience you described. I had to purchase another container because of the dreaded crack near the stopper. Eventually I switched to the Oxo and haven’t looked back. Benefits are: no need to mess with sponge filters, no reaching under to pull out the stopper, looks great on the countertop, self-contained and packs up nicely for storage.
Same price range as the Toddy, so keep it in mind if your Toddy ever cracks. Happy brewing!