FFVII last dungeon save crystal glitch question.

The glitch is as follows:

There is a glitch that may occur when obtaining the Save Crystal. When first entering the Northern Cave, the player can jump over and grab the Save Crystal before the rocks fall. This leads to the textbox saying the player got the Save Crystal remaining on the screen, but if one leaves the Northern Cave, returns, and checks their inventory, they will find they did not get the Save Crystal.

What would happen if I enter the and leave the cave BUT I don´t pick the chest that has the Save Crystal in it? Would the crsytal still remain there or not? I´m very hesitant to enter the final dungeon.