Hi, welcome to the forum.
This is a known issue but I suspect that your parents will find little comfort in that fact.
From the
TWC Website FAQ:
" Q: Will my monitored security system work with Digital Phone service?
A: Digital Phone will work with most monitored home security systems..."
Most providers carry similar disclaimers (for some it took an Act of Congress) although not all are buried as deeply or that hard to find. Believe it or not, some are honest enough to recommend that a POTS line be maintained for the alarm system.
The fact is that
most alarm systems will work with digital phone service on
some communications formats
sometimes. In my opinion, not an acceptable situation for monitoring of an alarm system.
Have you read this thread here on the forum? "
Broadband Monitoring"
Additionally, you could advise the alarm company that Time Warner Cable has expressed their willingness to be compliant with Contact-ID and that they have in-house test sites working on their network. Perhaps the alarm company will reprogram the system for this communications format (provided it's supported by the system) and test it.