Thanks to everyone here, I figured out the error of my ways... I was pressing the wrong buttons.
These were the buttons I was pressing:
I finally figured out its actually these buttons:
And here's what I was trying to access. The large drawer isn't supported very well on the left side, which allows it to "shift" to one side and bind when you open it. I saw another member on here who screwed and glued a support block to the left upright, so I did the same. It help immensely.
2015 Rockwood 2306
2015 Tundra CrewMax