If you are here with a platform, you do not need to press the buttons at all and can pass through easily.
If you have no platform, you can still get through this (note that there are two rows of appear blocks, so you can avoid pressing the button where needed).
The solution to the game, of course, is based on being here while holding a platform. The sections before have tried stealing the platform from you, try getting through the gauntlet while still keeping one!