I would consider 5 secs very short time between power off to power on.
It's probably enough to drain the caps in the PSU, but there are other caps in the machine as well, and some caps in circuit with the ram, could maybe need longer to drain fully.
For example, the X1000 manual specifically says to wait at least 30 seconds to power on again after a power off. This is probably a huge safety margin, but i would still consider 5 seconds to be very "hasty" as Threebeard would have said. :-)
When resetting a router, you often pull the plug for 10-20 seconds.
Amigas are delicate, old ladies. Treat them like an old, vetaran diesel car. You take your time to glow, then start, then let it run a min or two before driving, to let the engine warm up a bit.
