I informed Tszaboo yesterday that I may have solved the problem, but he's probably on vacation and hasn't responded. Since this is good news for the PRP1 probe, I'm letting everyone know.
The blame for everything lies primarily with me; I decided to measure the PRP1 probe's declared noise, and in doing so, I made two huge mistakes, driving good old Tszaboo crazy. He helped me so much. I also thank Martin72 for his help, who gave me some very useful advice in another discussion about noise measurements (but only of the MHO954 oscilloscope).
I'll try to summarize and hope I can be understood.
First, the essential things to know and follow, then my mistakes, and finally the final measurements with photos that demonstrate everything.
Noise measurements must be done with precise oscilloscope settings, and for the measurements to be comparable, they must be the same. There is no standard.
Let's start with the things common to all methods and state that we're talking about evaluating the noise of the PRP1 probe.
1 - the oscilloscope must be set to 50 ohms, and you don't need the supplied probes, but caps to close the inputs; this is mandatory on the PRP1 probe.
2 - setting 20 MHz filter. This is useful in general, but it's mandatory here because Tszaboo supplied the noise with such a filter.
3 - only one active channel. Of course, it's convenient to include a second one for immediate comparison, but since the full sampling rate, along with the scan speed, affects the measurement, it's best not to include anything else that affects these.
I'll show you more than one method; I'll start with the one suggested by Martin72, which is the one I used in the following photos.
a - Sensitivity at 1 mV/div
b - Scan speed at 1 ms/div
c - Memory set to use the maximum possible bandwidth, respecting point b above.
Then there's the mode Rigol uses for the MHO900, so it's not necessarily suitable for everyone.
a - 50 ohms, but it's already available as a general setting.
b - Sensitivity at 200 uV/div, and this automatically activates the 20 MHz filter for Rigol.
c - Scan speed at 20 uV/div
d - Memory depth at 1 Mpts
e - Sample rate at a maximum of 4 GSa/sec.
What we do in order:
1 - With the settings indicated, REPEAT I used Martin72's. We measure the oscilloscope noise without connecting anything to the channel input except a short-circuited plug.
2 - We plug in On the oscilloscope, the probe is also turned on and there is nothing at its input except a shorted cap.
3 - Using the well-known formula, calculate the probe's noise.

Ecco le foto delle misure fatte con il metodo di Martin72
questa che segue è il rumore dell'oscilloscopio (inferiore a quello che dichiara Rigol, meglio così)

questa altra è il rumore attaccando la sonda PRP! all'ingresso dell'oscilloscopio, sonda con il tappo corctocircuito sull'ingresso

Keep in mind that the calculation will not be precise because the oscilloscope we're using for the measurement has a noise level slightly lower than that of the probe being measured. In fact, be careful because if you have noisy oscilloscopes, the measurement will gradually become less precise.
I neglected the 1.3:1 correction factor because it makes little difference.
I repeat, to be very reliable, you need at least a factor of 10 between the measuring instrument and the one being measured.
With the values I read, the PRP1 noise will be just over 70 uV. Tszaboo may be worried, but I repeat, measurements made this way aren't precise, and just over 70 uV is PERFECT.
With the errors I had made previously, the values were 400 uV, even 800 uV when I read VRMS, and these worried me a bit.
I apologize and hope I've clarified things a bit, with the substantial help of Tszaboo and Martin72.
Now, to be honest, and I'd like someone who can clearly read the ripple of a simple cell phone charger: empty and fully charged... I'll wait for you.
Now let's talk about errors.
1 - What to measure? You need to measure AC-RMS and not VRMS, because VRMS also includes the DC offset and ruins the measurement.
2 - Using the cap on my Rigol MHO954 oscilloscope is optional because it makes no difference between with and without it. Anyway, test it and use the lowest value.
Instead, for the PRP1 probe it is ABSOLUTELY NECESSARY to have a cap that short-circuits the input otherwise the noise value will be 6-7 dB higher.