Stop it now please. Don't pick isolated unrelated incidents to prove a theory.
You can't deny the existence of faults in wired system simply by saying someone left a cat where is should not be ergo wired systems would be fine otherwise , nor can you deflect the fact wired systems are not 100% reliable (Your chosen criteria for acceptance) simply because its the circuit boards or sensors 'failing' rather than the 'link' to the panel.
You are as always being very sparing of the facts Bernard which is quite insulting to assume others don't actually know any better.
I dont have documented proof as I do not need to keep records but I have individual experience of installing over 1500 alarms which I have been looking after since 2008. Would you not think in that time I would have had a problem come to light if a problem exists. I have much less experience of wired systems but Ironically of only FOUR I have personal experience of 50% of them have developed faults.(my experience is as an end user of those systems not the professional companies who installed them.
You know I have woodworking experience of many many years 30+ as it happens and a Company called Wadkin went out of business because the machines they made were so well engineered they never failed. Cast iron frames - roller bearings - brass machined fittings etc etc. The problem was they had no recurring income in the aftercare , service and repair arena , they had even fitted grease nipples to all the hinges and runners.
I have seen those saws work for 40 years without a single spare.
Meanwhile Italian companies came in and swept the market with cheap machinery cheaply made which needed continual repairs and service kits , brackets,bearings,drive belts etc and those companies making crap flourished while Wadkin went out of Business.
I have seen Grade 2 kit and to be honest the plastics and general feel are cheap compared to other brands and one has to wonder how much built in failure lifespan those components have.
You have mentioned a hypothetical fail due to two sensors activating simultaneously but why did you mention that.
It specifically states in the installation instructions NOT to face a PIR towards a door contact.
... or do you really want to expand this discussion into the area poor installations which is another area altogether and nothing at all to do with the inherent reliability or not of any particular system.