Thankfully, the Virtual Console versions (and most modern emulators) don't have this problem. This makes an already Nintendo Hard level veer straight into Fake Difficulty. However, as many younger players found out the hard way, playing this level in an older emulator (such as zsnes) makes these barrels spin infinitely no matter what the player does, making the timing much more difficult (although it's still possible to complete the level this way).
The third level of the Lost World, Klobber Karnage, has a series of rotating barrels that the player must manually position and time correctly. This would culminate in Donkey Kong 64 and its huge number of items, each requiring a specific character, that would be looked down upon by players. But the third game required you to get all of its unique collectables for the best ending * You need the Bonus Coins to access all the levels, you need to open up all the levels to get all the Hero Coins, you need all the Hero Coins to get all the Banana Birds and there are two purchasable items for 55 Bear Coins to get two of said Banana Birds.
There was some restraint in that Kremcoins were the only ones you needed for completion percentage, outside of Hero Coins collected in the Lost World. This game added in three new coins on top of the four prior items and you needed all the Kremcoins to get the best ending. The first game had four collectables, but all of them were geared towards extra lives, so you weren't required to get them to get the max completion percentage or the good ending.