Thanks for playing! For the bosses that use multiple attack types, you have to successfully combo their attacks in sequence or you will be blocked. When an enemy attacks (say with Paper), their type is swapped to paper, so their weakness now becomes scissors. Usually you're countering fast enough that this weakness swapping isn't massively relevant, but you raise a good point that if you counter an enemy you should always do damage. This is something I'll look into post jam.
There is an easy mode which halves the damage your player takes, but I'm wishing now I also slowed down the enemy attacks when you are in easy mode also.