Within reason

A bit like in Voyage Home, Kirk was demoted as 'punishment', despite saving the world...

The demi-god motif might have been recurring, but it was hardly the continuous theme of TNG and onwards... Q's shenanigans were used as he was a popular character, but they hardly defined all plots

I said A recurring theme, not THE central theme

Mc Coy was a Doctor Before joining starfleet He was also married and divorced

The Ranking officer aboard enterprise (that we see) is scotty
Almost everyone else is a cadet or medically imcompetent

Well, you did say:

'continuous' implies that it was either continually ongoing, or often repeated thematically [if not necessarily within a continuous story arc] rather than simply recurring from time to time

With the exception of Vulcan Fever Uhura, yup...

Hmm mad evil demi gods in trek

TOS

The squire
the metrons
the organians
Gary mitchell
Im sure I missed a couple

TNG
Q
Some mad woman pretending to be the devil
A Long dead queen/goddess who possessed data
several more

DS9
Q (again)
Pah wraiths
Another (different) Q

Voyager

the care taker
Lots and lots of Q

there are a fair few

So that's about 5-6 per series... Given the themes covered in the other episodes, it's hardly the continuous theme

Yes, precisely as I said. The deviant demi-god was a recurring theme in Trek, though I never said it was the central theme of the show. And 5-6 per series does not mean 5-6 appearances. Q appeared much more than 5 or 6 times.

I'm not sure if you are trying to play semantical games or not, but once more for emphasis, I never said it was the central theme of Trek or any Trek series, simply something that kept happening and goes to show realism is not a big priority in Trek.

its a "law of Trek"
Along with the one about

"Transporters will fail or be unusable when a vital crew member needs to be on the planet/ship to save the day"

and of course
"The Engines canna take it "