The signal lasts for a fraction of a second.
If two sensors are triggered at exactly the same time, their signals may interfere with each other. This is not easy to achieve.
skipped over that bit, didn't you?
As the signal only lasts a fraction of a second it only needs a fraction of a second of signal from another transmitter to block the alarm signal. The chance is low but it NOT insignificant when you consider all the devices that are legally allowed to transmit on that frequency. With a wired system the alarm signal from the sensor is there as long as motion is being detected and unless the intruder has managed to "adjust" the wiring to block the signal it will reach the panel. Cutting the wires will set the alarm off.
Yes we know wireless appear cheap and is possibly bery easy to install. But these are more a marketing advantage than an advantage to the user in the long term.The two big advantages of a DIY wireless system like the Yale is that it is cheap (especially if you buy it from a discount supplier like ironmongerydirect dot com) and that the householder can easily install it himself in an hour or so
It still does not mean it is as reliable as a system that is cheaper but more work to install. Wired systems can be made cheaper than an equivalent wireless system as they do not have the cost of wireless transmitters and receivers and the other costs incurred in hardware necessary to control the radio equipment and create the digital messages.