Level 28 and you can't do level 2? Don't blame the game, blame yourself. I'm level 19 and I've been clearing level 25 and level 30 missions 2x gold ore 1 titanium ore, and the 3 gold ore mission quite consistently. The trick is to use buy iron skins and have chili peppers. On hard boss fights, use iron skins, heal yourself and use skips until you have 20 AP, then use a chili pepper and hopefully you built your avatar for dps, and you just use him and should do all of boss's hp.
Don't know what you guys are talking about controls are fine. The only issue I had was that I didn't need that ghost repellent item to get to the last boss. I went back to get it later and it made the last parts of the game too easy.
The gameplay is too plain. Too easy, I did the entire game with just leveling up turret and have a pistol 95% of the time and 5% of the other time use a max level shotgun to the occasional clump of enemies and the last boss.
Because you actually watched 20 different people play in person, and saw them do every level without cheating achieving everything right. Of course not, otherwise the high scoreboards are glitched or broken, as I previously said.
Looks like less than I would say 20 people got the impossible badge without cheating unless the scoreboard is glitched or wrong- I wouldn't be too surprised since my game is glitched so it doesn't reward one of the trophies, I should have the badge already, anyways, look at advanced world 4 switches All Time. One of the trophies is to do it in 39 switches or less. 34 is the best score you can get, I checked for the most optimal route on each level perfect run and that's what it came to be. Only 6 people including me has done this in between 34 and 39. Only 9 of 10 trophies is required, but getting advanced world 2 no deaths is harder, so I would assume more people would have chosen the less than 40 switches route.
Conclusion: This is probably the least rewarded and hardest platforming impossible badge for sure.