Is this type of scope probe homemade?

To reduce the loop area and noisepick up, the GND lead of the scope probe is very next to the tip in the below probe:

I don’t have such probes and my scope probe GND leads are much longer alligator clips.

Does the type of probe in the photo have a name or is it homemade? And when is it used?

Answer

This is not a "probe", this is called "ground accessory" to some old active probes like Tektronix P5100 etc. The shown is a hand-made accessory, but there were ground tips made of springy wire and officially sold by oscilloscope companies. An example of a smaller size ground contact,

or for Agilent probes (circled in red:

The purpose of these short probe leads is to decrease inductance of leads (ground in particular) and gain few dozens of MHz to overall probe's bandwidth. And to reduce unwanted parasitic interference from nearby signals. Here is the detail: