Would it be appropriate to mark down a student who selected all the answers in this exercise as "correct"?
I actually think this is a question about mathematics, or more precisely about mathematics education (and in the limited scope in which it is presented it would be a better fit on the Math Educators stack exchange), but there is a larger academic issue which is perhaps what you are “really” asking about.

The point is this: as educators we try very hard to instill in our students the values of precision, logical reasoning, and attention to detail. When they are sloppy in their answers to our carefully phrased exam/HW answers, we mark off points and wag our fingers at them. We go to great lengths to provide them with examples of well-written, thoughtful, precise, polished answers (and other content) that pertain to the topics being discussed, in the hopes that they will pay attention and seek to emulate that style of discourse.

Given all that, and especially in mathematics where that precision is an essential value that goes to the core of the entire discipline, we cannot afford to ask sloppy (and formally incorrect) questions ourselves. It is a terrible example to give students and undermines the very goal we are trying to achieve. A teacher who is sloppy cannot expect to produce students who are any less sloppy than the teacher.

Coming back to your textbook example, it may depend on the age group this textbook is aimed at, but for a university-level audience the problem you cite is indeed unacceptably sloppy. You are not being too pedantic; a student who answers that all answers are correct will have answered the question correctly (to the extent that the question is sufficiently well-posed that it can be said to have a correct answer) and deserves to get full points for the question and to not have anyone be describing their behavior with the word “provocatively”. Such a student will have shown themselves to be more thoughtful (unless they arrived at their answer by pure luck) and to have a better grasp of mathematical precision than the authors of this textbook.