I wouldn't say so. If we mark this a stupidity, then a lier's paradox is a stupidity also. If people could easily deal with such statements and understand them correctly, it doesn't mean there is no problem. Problem arises when you try to devise some formal system describing all the statements, and then you find some more statements and the system doesn't work for them.
Zeno's paradoxes for example show us the weaknesses of Ancient Greek's system of reasoning, the weaknesses of their kid of logic and math. But will have troubles seeing them as paradoxes if they do not know logic at all or if they know modern logic and modern math which solve all of the Zeno's paradoxes (or most of them?). Now Zeno's paradoxes are not paradoxes at all, but the silly mistakes of reasoning.
It reminds me of edge-cases in programming, you designed a beautiful program and then edge-cases started to pop up, you patch your program, patch it some more, and in no time at all your beautiful program becomes a heap of spaghetti code. The only way to avoid it is to code something that you coded before many times and know all the shenanigans allowing you to combine beautiful design with the practical applicability.
Here is the same thing, if you do not know what the system the author uses, you cannot judge if his reasoning stupid or not.
I don't know either, but I believe, that it is an interesting observation. The person said "I'm not here now", and it was obviously false, when they said it, but when answering machine says it the statements becomes true. I'm not sure what the problem is, but I think, that the problem starts biting you hard, when you try to define a set of all such statements and to choose a condition of their truthfulness. Of course, you can use your intuition as a tool for demarcation, but philosophy doesn't work that way, it seeks an objective criteria, preferably a formal one.