Suggestion:
Define the input by XORing the digital input with previous sample.
Then define conditions for either state or frequency of toggles or duration or count of events in each period according to what you expect as an event or noise or false alarm
Then test vs spec for any condition and revise spec until perfect. If you know stats, consider error rate , probability of error and stress environment that may accelerate errors like wearout with constant vibration, cold temp, with random jogs,
the interface:
The test conditions for comparator logic duty cycle and possibly frequency as 104 (0.1uF cap) acts a smoothing filter that reduces as pot wiper goes to either end., So filtering will change with pot threshold as well as bias towards output duty cycle, so define your conditions well and error rate. The pot setting may or may not be critical to your app. If you ask for reliability data from http://beelee-switch.com/ the smart switch maker, and have a high volume interest, you can get it translated from someone local.
old answer
It seems you are good at finding a flaw in the design.
If you can hear anything moving inside, it could be an electro-mechanical switch metastable operating point that may have a silent position.
Are these design defects common? usually only in prototypes or early release rushed product.
What is it exactly? Who knows, it's undocumented.
Anecdotal
I recall a design 20 years ago in Montreal our company made for someone which was a mobile digital personal alarm that could be tied to a camera on the beach or a bike nearby for theft protection alarm on motion. It used a 9V battery with a ball-bearing in large piezo diaphragm that acted as a microphone sensitive to the slightest ball bearing motion. THen it's uC reversed the flow of current with its step-up voltage coil and drove 100V into the piezo disc as a beeping alarm. It had digital options for allowing selectable false alerts 1,2, or 3 but it also had a tiny metastable stiction spot on one direction and a few other minor prototype design/assembly flaws I suggested to fix. The owner of the product suggested it was our contract manufacturing fault (C-MAC Electronics). I cleared that up fault confusion with a list of designer faults and suggested fixes.