Looking for guidance in frequency measurement

Ahh, you're right. I thought I the count vs measure comparison document at:

...was the same exact document, and the table at the top was the same. But it is not. On the Mega, FreqMeasure runs the Timer4 counter fast based on a clock, and uses the pin49/ICP4 to InputCaPture the Timer4 count when each cycle happens, versus FreqCount using 47/T5 Timer5 external clock pin to count the number of cycles in a certain interval of time. They are completely different mechanisms and, on the Mega, use different pins (and different timers).

Are you looking for something like a tone() example?

https://www.arduino.cc/reference/en/language/functions/advanced-io/tone/

You could add tone() and a jumper to one of the FreqMeasure or FreqCount examples. (Or to one off Nick Gammon's examples)