If someone orders a pizza (let's say in Italian) and then has food, someone might say "I want to do that". I'm tentatively (conservatively) suggesting that may be entirely behavioral (extension). You are claiming it is linguistic/metapragmatic (intensional). You might be right, but I don't know that you're right.
I'm not really following you in the slightest. How could any act of speech be entirely extensional (let alone one using deictic shifters like "I" and "that"!)?
You seem to want metapragmatic function to depend on some sort of distinction between concept and behavior but -- again -- that's just not what's at stake. That's just not what it's about. Kripke himself talks about the extensional dimensions of metapragmatics at some length. Heck, that's precisely what his baptismal events are: extensional metapragmatics.
If a person interprets the arrival of pizza as the effect of speaking in some particular way or under some particular set of circumstances, that's a pragmatic interpretation. If that person goes on to talk about wanting to be able to produce that same effect themselves, that's metapragmatic discourse. Full stop. Whatever other conditions you are imposing on the term are just incorrect.
If you can find me an animal behaviorist who suggests that feline communication involves metapragmatics, let's talk. Until then, if we're attributing complex cognition in the absence of evidence, why not just assume the cat is meowing because he's fed up with post-structuralist social theory and its critical obsession with Cartesian epistemology? I know I am!
Again, I don't know. I know little of the field of animal communication (one reason I'm interested in it at the moment). But, for example, Con Slobodchikoff (whose book I've been reading-- that's why I keep mentioning the name) would probably say we can't know until we actually understand their communicative behavior/system from their perspective. And that's all I'm saying-- we don't know.
And, we do understand a great deal about animal communication systems, particularly primate systems. Is it possible that we will one day realize that some animals have language complexity vastly beyond what we currently appreciate, including even metapragmatic functions? Sure. Is it possible that one day we will realize that the moon actually is made out of cheese? Also sure. This room for skepticism is not unique to these particular problems but rather is built into the scientific process itself.
In the meantime, at least, everything we know about animal communication tells us that they don't engage in metapragmatic functions. In the absence of dramatic new findings, that is and will continue to be the state of the art. Unevidenced speculations about what we might discover in the future don't change that.
Well, no. Of course not. At least not without the addition of something else...i.e., as jkpate suggests, an argument that "guns make words more powerful", or something like that.
Ok, and that would then be metapragmatic, even completely outside the domain of language?
I have absolutely no idea how you could make a statement about the power of words "outside the domain of language". That's just a contradiction of terms on several different levels.
In the end, I'm questioning the strict dichotomy. I don't question that humans are farther along the spectrum than other animals. As a hypothetical, let's imagine that there is some intermediate level in the spectrum. What would that look like? It may turn out to be a completely false assumption (that there is some spectrum to consider), but let's falsify it, rather than assuming it doesn't exist.
Of course there is a wide spectrum of complexity in metapragmatic functions. The article I keep pointing you towards is chiefly about exactly that continuum. But, at minimum and by definition, metapragmatic function requires a speaker to treat the consequentiality of language as itself an object of language. Despite vast quantities of research, there is exactly no evidence that I am aware of to suggest that animals do this. If you happen to find any, I'd be very interested to learn of it.
Just to add another animal communication act to the discussion, consider parrots that imitate humans. They then have a collection of signs including normal bird sounds and some human words like "hello". What I'd wonder is if there is any evidence whatsoever that they distinguish between the two types of signs as a (human) bilingual would, even to a very small extent. Do they say "hello" to other birds? Do they make normal bird noises to humans?
No clue, but whether they do these things or not is irrelevant to their metapragmatic capabilities (or lack thereof).