I'm in the same boat as those who miss the in person lotteries. I started going to the theater only a few years before in person lotteries died, but I still loved the feeling of excitement when your name is called! When I was in NYC in 2014, I was super lucky and won If/Then. Seeing Idina belt her face off from the 2nd row was amazing, and even more amazing that I entered at the last possible second and was seeing it for $35. Again, echoing what others have said, is that you put your faith in the one show you really want to see, and if you lose you have 1.5 - 2 hours to figure something else out. On that same trip my bus was late coming into the city, so I didn't even get to enter the Hedwig lottery. My backup was to check to see if Cinderella had any rush left (it was a slow time of year, and I had heard it was an easy rush). On my way to that show, I walked past Gentleman's Guide and figured I'd see if they had any rush left, and long story short I ended up with the final SRO spot and saw the OBC about a month before they left for $27.
The only online lotto I've tried is Hamilton (once in NYC, three times in Chicago) and I've lost everytime.
I love that some tours still have in person lotteries and/or reliable rush policies. When BOM was in my city, I saw the show 6 times through the lottery simply because people didn't know about it. You just had to show up to win. Wicked's tour (and I'm sure broadway as well) is still kinda tricky. I won theirs on my 3rd in person try.
So yeah, basically bring back in person lotteries! It actually required people to really want to go see the show, and to make the effort to drag themselves into the city to enter. Anyone could countlessly enter online lotteries and not buy the tickets, screwing those who would buy them in a heartbeat if they had the chance.