A falling edge monostable curcuit is a device that sends a very short pulse after the button deactivates.
What should happen:
When the redstone torch activates the repeater should receive a pulse like the one on the right.( as shown in the video)
What happened:
When the torch reactivates, the repeater on the left circuit did not receive a pulse.
[This has been a a bug since 1.0.0]
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Here is something that can work in its place with Bedrock's Current Mechanics:
[media]

It is odd how what source powers the piston/block changes the outcome of whether the piston or the block becomes powered first.

After looking at this a bit harder, it turns out the inconsistencies are caused by MCPE-15793 with the button directly powering the repeater and due to the bug, it skips its 1 tick delay and powers up. When the torch gets turned back on, this is due to a redstone tick, not a block/player update so the repeater waits 1 red stone tick to power up, but by that time the piston has removed the powered block, which since that causes a block update, means the repeater turns off, skipping its power off delay as well.

I see. Thanks for the info.
This may be due to how pistons are different in Bedrock and Java.