If equipment fails due to a 1 second Mains dip, the designers of such equipment should give their Degrees back, & become street sweepers!
That said, what I
have seen, is SMPS with a high value resistor connected to the Mains "Live" to give a momentary "flick" to start the supply.
Being high value resistors, these often go "high" to the extent that the start circuit no longer works.
If the gear is continuously running, nobody notices this until a short Mains fail happens, when they refuse to restart.
This is not really a failure caused by the mains loss, but may end up being recorded as such.
The obvious guard against this happening is to switch the equipment off then back on under controlled conditions.
That way, you may have to fix one device from time to time, but it's a lot better than 4 at a time!
(Been there, done that, got the "T"-shirt---no fun at all!
)