The laser cube isn't strictly necessary for the staircase - you can make a recording and use both your, and your twin's portals to activate the laser relay and catcher. Personally, I'd leave this in as the intended solution and change the cube to a standard one. This is TWTM, after all, so puzzles that require use of the time machine are a good thing.

If you make changes the other way, where the staircase can't be engaged without using the cube, then you should add a way to manually respawn the cube. The player could trap themselves by throwing the cube through the laser fields, out of reach. I know, that's not likely someone would do that, and restarting the map for such foolishness would be just punishment, but making it impossible for the player to trap themselves is a hallmark of good map design.

Hell Diguner

I Have Updated the Test to Hopefully Fix Most of the Problems

Still don't need the staircase. The player can (1) use the portalable surface on the ceiling, (2) "twin jump" up one tile high obstacles, and (3) reportal from the floor to gain the extra momentum needed to get up there. The last one is only an option for people who CAN reportal, so that might be a low priority.

Hell Diguner

I updated the Test to Hopefully fix some of the problems :)

After about 300 tries, I finally managed to get the cube without using the time machine.

Hell Diguner

I will be trying to improve this test over the couple days :)

You should add an easy way to get back to the start of the map, as you can't guarantee the player will make his recording before crossing the pit of goo. I can make it back, but I'm not your average Portal 2 test subject.

So... what's the purpose of the laser and catcher? I think you forgot we have a portal device and a time machine.