I use a similar device and in my experience "Yes" for a simple UHF mobile notch duplexer, or a cavity filter. Much depends on the isolation dB and if the inexpensive analyzers can handle the depth of the cavity/filter and or notch duplexer. I confirmed the tune with an Agilent 8935 after first using the inexpensive analyzer.
When I tried with a Telewave 1484
VHF BpBr duplexer, "No". The sweep was just way off and hardly adjusting during a tune. After tuning with the 8935, the sweep was way off on the inexpensive analyzer after looking again.
Hmm...I happened to be tuning a Motorola T1500
UHF BpBr duplexer with the Agilent 8935 yesterday. I just put the small meter on it and it shows the pass and reject fine. The numbers are very close too. I am using an N2061SA vector impedance analyzer and I may trust it to tune the pass and reject on this T1500 if that is all I had. The actual numbers are close but not professional close. A watt meter with some power could tell you the TX loss after tuning to compare the dB.
I am unsure as to why it works on one duplexer and not with the other. I suspect the split difference to be one reason. There are probably other factors, but overall these inexpensive analyzers are very handy for amateur grade projects.
Does a NanoVNA have the resolution necessary for tuning duplexers and cavity filters?