Based on my research, MUs perform better than TBs. For my simulated information theories, the MUs gained ~2 bits of information on average vs ~1.1 for TBs.

So if only MUs, we're talking around 10 events - meaning you could get enough information on MUs alone to win the game! Conversely, it would take about 20 events to do this just for TBs.

It's not super obvious from the graphs, but you can just about notice that the purple dots drop a bit lower than the pink ones!

Hope this helps