Knowing the limitations of your runtime is important. My book is not a dogmatic application of functional programming in spite of JavaScript, but instead an exploration of the functional techniques that complement JavaScript. Tail calls make an appearance, but they are more broadly applicable than their use in the presence of TCO.
Basically you rewrite your recursive functions so that instead of calling another function they return a parameterless closure. Then you can iteratively call your first function, and the function it returns, and the function it returns etc until the return value is not a function.
Tail calls are not as much about "deep recursion" as they are about continuation-passing style, compositionality, and similar things.
It's like with lazy evaluation. It allows you to write novel kinds of algorithms and data structures, and you can emulate it with helper objects or structures, but it's tedious, muddles the essence of the code, and the implementation without them (the helper structures) would be simpler if the language provided you with lazy expressions.
In other words, repeat with me: loops don't compose. They're not first-class, they're not extensible, they're a syntactic construct.
Functional purity would be nice, but TCO not strictly necessary to be program very functionally. For instance, here TCO would be necessary to prevent the stack from being over-run:
lack of TCO doesn't mean it's a little slow, lack of TCO means that naive use of classic functional patterns blows the stack for big lists/structures/arguments.
By "classic functional patterns" you mean recursion. There are other ways to implement functions that are "classically functional" using techniques other than recursion, that do not blow the stack. I'll talk about each and their tradeoffs.
It's not just recursion, it's calls in general, I guess. (There are other ways of being space-inefficient in functional programs, see the odd versus even streams issue in Scheme.) Are you going to mention tail calls in ES6 in your book, BTW?
I realize that JS is becoming more popular for various tasks -- not always relating to the web -- but still, I kind of doubt that 99% of the JS out there is going to run up against these types of problems. Perhaps something like Uglify.js or similar might, but then again, if you're implementing a parser (or any other static code analyzer/tool) then you're probably going to avoid most libs to start with.
Yes, in particular, asking people to think about the input and output to a particular piece of code is really important.
Pulling apart the iteration over a collection of elements and behavior performed to each element is one of those insights that a functional style is good at communicating, and leads to better more testable code.
I think that because TCO is all but inevitable in future engines/standards, starting to use functional patterns now for the programming benefits is worthwhile.