Are we talking semantics here...?
xxx
When I learned to fly -1960 - I remember 3 names...
Was reciprocating (or piston) engines... hmmm, these good old DC-6s...
Was turboprop engines... the F-27 Frienships, the Vanguards...
Was turbojets (or jets in short)... the 707s and DC8s...
We started to hear mentions about "fans" - was it Elvis Presley fans, or JT3D.
xxx
Flew military in the 1960s... then went airline...
The interview was - how many "jet hours" you got... was the vocabulary.
Sometimes in the 1970s, I heard wannabees talking "turbine"...
xxx
Appears it is a word invented by guys who flew propeller airplanes...
For me, 2 kind of propeller airplanes -
The recips (in short) or piston engines, a Cessna 172 or a DC-3...
The turboprops (guys who were flying PT-6 powered King Airs)...
xxx
To the question "how many jet hours you have" -
If none, they would answer "I have 500 hours
turbine on King Airs"...
The question was not "turbine" (or turboprop),
the question was jet -
xxx
Jet airplanes behave a certain way (due to the absence of propeller) -
Propeller airplanes behave another way.
Sure, the recips and turboprops are different engines.
You handle the engines differently, yet the propellers have same effect.
xxx
To answer your question - N767PL -
If you apply with an airline for a F/O position on "jet", try to have "jet hours".
Dont answer "turbine" to them.
If you apply for a F/O position on turboprop Dash-8, better to have turboprop hours.
xxx
We know that turbines do power jets and turboprops.
But after all, they fly differently.
When you get that propeller blowing over the wing, you get a lot of extra lift.
None of that on "jets" (call them fanjets if you want to) -
And when you go to idle with a turboprop, lots of "drag" you get from props...
None, or so little of that with "jets" (or fan-jets) -
xxx

Happy contrails