I've written several articles on using chronographs and their merits. I am one who does pay close attention to my standard deviation and extreme spread numbers although I have one rifle that defies logic - an extreme spread of 61fps resulted in a one-hole, five-shot 100-yard group - but it is an exception, not the rule.
If a load doesn't group well and has big SD and ES numbers, without a chronograph you'll never know that variation exists so you might blame yourself and waste more components and barrel wear duplicating those results without learning anything. Regardless of what your shooting is about, consistency is a major factor in accuracy and getting your SD and ES numbers down will usually result in tighter groups regardless of the type of firearm. Again, as I illustrated up front, exceptions will occur but that's exactly what they are - exceptions.
I've bought several "better" chronographs and always went back to my good old ProChrono. When aligned with those "better" units, the differences in readings were no greater than you would expect with the spacing involved. And the ProChrono works in lighting conditions that aren't the best - the "better" ones often didn't. I now use the ProChrono DLX and you can't spend a better $130 on your shooting. And if you shoot in pistol competition where your loads have to reach a certain power factor, the ProChrono app for your phone will provide that data for you.
Yep - every serious handloader should have a chronograph.
Ed