OK. Brace yourself, because I'm going to confirm what I understand
you to have said and the results could be a tad ugly. :-0

This electronic thermostat is simply cycling power on and off more
frequently than its mechanical counterpart, and any power disturbances
are rather trivial and occur only at the time the load is dropped and
then again as it is subsequently picked back up. It's really no
different from a conventional bimetal thermostat in this regard,
except that these minor transients [insert appropriate terminology
here] happen perhaps every 5 to 10 seconds, as opposed to once every
three to four minutes.

Hmm... no screaming, no gnashing of teeth, no hair pulling... I'm
taking that as a good sign....

Cheers,
Paul