It surely is splitting hairs but are peoole misinformed and the question is what is the purpose of them?
Is it to get distance, stability, or both?
I see the stability factor as uniformed ladder users needing reassurance so they feel safer.
I have never seen any ladder safety training to recommend them as part of a safer means for stability. Ladder safety states no reaching from a ladder where using many stabilizers will say user can reach further than a ladder without. Not sure this is helpful advise.
I can assure you from my own experience, that setting a ladder with a stand off on a roof's edge in the dirt, is more stable then without. The stabilizer stops the ladder from sinking further into the dirt and stops the ladder from sliding on the roof's edge. On siding? Slightly safer. It stops some of the twist on a ladder when reaching out from it, since it has a wider contact surface. While the "protection" factor is slightly more than without stabilizers, it is some benefit.
No, you should not reach from a ladder. Everyone does it because it's impractical not to in most cases. A lift eliminates most of the "reach" problem, but again, impractical for most operators/situations.
I do not see the stabilizer as a view by the uninformed. They have their place. I certainly am not uninformed and I would not use a ladder off concrete without a stabilizer anymore. I have used them without, and since using it both ways, I have decided what is safer from experience. A stabilizer has more than once also, allowed me to set a ladder where I can directly reach what I was trying to reach and be square on the ladder, as opposed to reaching from the left or right because I could not straddle something.
I don't think they are right for every situation, but for what I do they are. I can also pull them off if need be. So it's not like a ladder is locked to using a stabilizer once mounted. Do they give a false sense of security? Maybe to those who don't know how to use ladders, probably yes. If someone does not even know how to set a ladder at the proper angle, then they probably should not be using a ladder at all.