I'm a curious cat. I hate a black box.
This I totally understand. TOTALLY!
I gather that you didn't see my energy monitor when you were here. It's an invisible sort of thing I guess.
My curiosity is insatiable. I spend waaaay to much money trying unsuccessfully to satisfy it.
@CWret recently bought a real time power meter specifically to understand and optimize his shop air filter. The man is loco. But I get it! I thought he was gunna do a thread on it for everyone's benefit. I hope he does. It's cool stuff.
Here is my shop RIGHT NOW at 4 am. I can simply login to my energy monitor and know what is using what.

These amp meters are located in my breaker box, but I also have a number of individual sensors that can measure individual devices that are accessed via the devices tab at the bottom left. Because they collect data, I can get cumulative and seasonal data.
I don't get power factor data, but I can get that when and if needed.
The little device that @CWret bought (ya, I later bought one too) is circuit specific - you plug it into an outlet and then plug the device into it, but it gives you instantaneous information.

You probably know all this stuff to follow, but I'm posting anyway for the benefit of other curious George's like us.
For your application, I'd be inclined to make a special circuit using a very low resistance block to convert current into voltage for monitoring purposes.
Something like this

RIIEYOCA 100A 75mV Ammeter shunt,DC Current Shunt Resistor for Digital Ammeter Analog Meter : Amazon.ca: Automotive
RIIEYOCA 100A 75mV Ammeter shunt,DC Current Shunt Resistor for Digital Ammeter Analog Meter : Amazon.ca: Automotive
a.co
With such a device (or a small current coil), a small scope allows you to examine individual waveforms. A storage scope will let you assess transient (startup and shutdown) signals too.
