Well, the calculator use has been around for a long time, at least since a calculator was available at such a low cost that you could think of them as something with a counter, display and a small controller you could buy for under $5. I remember appnotes that used them to make totaliser units, and even one using it as a postscaler for a faster counter, to improve resolution and give extra readout, at the expense of increased gate time. Another used a sequence of RC delays, like VK3DRB describes, to enter the startup keypresses on power on ( using a calculator that had no APO functionality of course) to make a "low cost robust totalising 8 digit counter for under $10" IIRC.
The calculator provides really good keyboard debouncing, reliable counting and in this application, a perfect solution instead of ordering a counter that likely would never be used again much. Dave already has a plethora of cheap calculators, so just grabbing one, likely from the dumpster room as well, tossed out because they did not want to dust it ( yes it happens) is both cheap, efficient and a good solution to the problem.