I have yet met anyone that doesn't agree with that.
Besides that though in light of the technical answers distinction, where have you ever seen a limiter called a normalizer?
Take another look at the screen print from SF's "Normalize" function. Not only does it offer either peak or RMS normalization, but when performing RMS normalizaton, it offers what it calls "Dynamic compression" as one option for handling what would otherwise be clipped peaks when trying to match RMS. That dynamic compression is nothing more than a limiter in different clothing. Also, check out almost any "volume balancing" plug or program, which usually needs to limit the peaks to do their brand of normalization.
NYM, there is no such thing as a "normalizer" with one single standard definition. This is the part that you seem to have trouble with. There are any given number of ways in which analog or digital audio data can be normalized, and you could could any one of them a "normalizer". But "Normalizer" in and of itself as a proper noun has no meaning even in audio.
I'll agree that JL's definition is "most often" the correct one for what a simpleton button does in many audio editors. But it is NOT *always* correct. That fact right there renders JL's definition as incomplete at best, and incorrect at worst.
Lets not forget there are a few questions that Doc V. asked in his OP, including the thread title "what does 'Normalize' mean", which the standard simplistic answer answers VERY incorrectly, and "What is Normal/what does Normal mean", which the "standard" answer you want to give does not answer at all.
Technically is a compressor a normalizer? How about EQ? What about a resistor? How about a fader, a computer, whatever? See where I'm going with this? We could call every sound treatment nomalization if you wanted to skew things a little further.
I've been waiting for someone to ask those questions, I'm surprised it took this long

. The answer is no, none of those are normalizers (except maybe the computer), because they are not adjusting the data to any standardized values.
Adding 6dB of something via EQ or applying 3:1 compression to something does not set a standard, because it's all relative to the original content, not to a defined result. Could you normalize with them? Yes, if you apply manual settings to each individual file so as some measure does wind up being equal between multiple files or tracks or data sets or whatever. But there the "noramlizer" is the manual physical procedure you apply to the gear, not the gear itself.
A "mormalizer", on the other hand, returns to you the exact same results (peaking or RMSing or whatever) at the same value regardless of the original content of the data it's modifying.
Look at it this way: a dumb fader - which is only a simple volume control - is not a normalizer in and of itself; it adjusts volume, but standardizes nothing. A peak normalizer, is also nothing but a simple volume control, but it is called a normalizer because the end result (in this case the maximum peak level) is the same regardless of the source material.
A standard compressor is not a normalizer in and of itself, because the output is dependent upon the input and nothing is set to a data standard. A brick wall limiter, OTOH, is a type of normalizer, because it sets an output standard; regardless of the sounds you feed it, nothing will ever come out of it more than a dB or so louder than it's threshold.
What the marketing bozos choose to call something by label is irrelevant. They also all call the polarity reverse buttons on mixers and DAW software "phase" buttons when in reality they are really just polarity inverters and not phase shifters.
G.