There are two different issues to be considered with this subject...
1.
The physics: putting anything on a fitting that acts as a lubricant - oil/grease/anti-sieze/threadlocker, sealant, etc - increases the tension on the fitting by as much as 50% over a "dry" fitting using the same torque setting on the wrench. That's physical reality.
2.
Actual use: It appears that many (most?) folks here use something on threads and factory torque settings with no adverse affect...at least with steel/cast iron fittings. The use of these products reduce/eliminate galling/rusting (or parts falling off!) and general issues that can make future disassembly more difficult.
I use most of the various products and generally don't worry much about the change in actual tension re the torque specs
as long as aluminum threads are not involved. As I said, I HAVE seen, and in my younger mechanic-ing days, personally stripped out a few AL threads using factory torque specs/lubricants.
Nowadays, with threads in AL or other soft metals I typically use antisieze and tighten by the "feel" of the fitting rather than using a torque wrench. I'm comfortable doing that and it works well for me. However, I'm not suggesting it's a proper way to do it and I would not suggest that a beginning mechanic use that method.
In fact, if I was teaching mechanics, I'd tell them to
follow the service manual...and develop there own preferences as they gain experience.