Not really needed, usually....
If you follow published load data closely, I think it is absolutely NOT needed. It provides a little gee whiz info that basically confirms that what you are loading is pretty close to what the book said you were gonna load. So What. It is actually more of a PiTA to use than the pointless info you get.
But if you start using 'similar' bullets to the published data, or slightly different bullet weights, or light powder loads, or etc. etc. etc., well, then the chronograph is really important to understand what you are actually producing.
I have had my chronograph since the early 90s, but rarely used it until this year when I started fighting leading problems in handgun loads. The actual speed data helps me understand what is actually going on. And ESPECIALLY since the powder shortage when sometimes you just gotta use what you have, even when the other components are close to the data but not exact, the actual speed data is very important to see if all is the same as what you expected. It would be better to have real pressure data, but since that is not available, speed is better than nothing.
So bottom line: if you are a relatively new loader, just stay with the published data and forget the chronograph. If you have a lot of experience, you will know when you need it.