If it was me, I don't recall it.
This is a strategy I have always liked to employ wherever possible.
I'm strongly with you on this point as well.
As for my reading of the word rest, however, it is different from yours. I recognize that some people need to figure out a way to deal with the word "rest" as you have because it implies to them refreshment from weariness - a scenario that could hardly apply to God. By contrast, I have always been among those people who read the word as primarily speaking to the repose and reflection of a craftsman who has just finished what he deems to be a satisfying work of art - that is, the cessation of labor that allows thoughtful contemplation of all that has been accomplished. In this sense, "rest" seems even more applicable to God than to a human being because no human being could ever attempt, much less succeed, at such a project.
For me, the word "rest" fits very well with other key words in that passage (e.g. "completed," "done," "work," "created," "made"). (I am using the NASB.) Thus it is the meaning of rest as cessation of labor, and particularly as the cessation of labor for the purpose of reviewing and reflecting on what was accomplished through that labor, as well as the accumulated weight of these related words that I struggle to reconcile with the idea that Genesis 1 launched a creation that has never ceased and continues to this day (i.e. creatio continua).
As far as I can tell, there's no reference about man imitating God with respect to taking a sabbath until Exodus 20. Even then, Deuteronomy 5 demonstrates that God could easily have justified the Sabbath without reference to His creation of heaven and earth. Moreover, God doesn't have to justify a commandment to us at all - as the balance of the Ten Commandments amply demonstrates. I could assume that Genesis 2:1-3 was a revelation of God to and through Moses, making Genesis 2:1-3 and Exodus 20 (as communications to Israel) roughly contemporaneous, but then, especially given the Deuteronomy 5 explanation, I'd struggle to understand why, if the idea is based on God's activity, it didn't need to be an aspect of human behavior for all those intervening centuries.
I've not tried to be exhaustive in my comments here, but I did want you to appreciate why the "weariness" aspect was not part of my thinking and therefore not something I had to overcome or that otherwise occupied my attention.