There is a device to measure gauss but they are spend and rare. There really isn't a practical need for one in the studio afaic.
So I can't give you quantitative data but how about a case study?
I had an aggravating problem with the Tascam 58 I used to have. I had degaussed the tape path using the lame-o demag wand. I thought all was good. I'd never used a "real" demag unit like the Han-D-Mag and I just assumed all was good. I was getting clicks and pops printed to tape even when I wasn't recording...just having tape pass over the heads was printing the pops and clicks to tape. I assumed it was a problem with my electronics. As I recall Beck and some others helped me figure it out and in the end the heads had not been properly degassed even though I executed the procedure correctly. The tool was the problem. I put that thing back in the box, bought a used new-condition Han-D-Mag for $50 and have never looked back. First time I used the Han-D-Mag it was like "oh wow". It took care of the problem. To be honest I won't even trust the lame-o unit on my cassette decks, and if it won't work on a 1/2" 8-track head then sure as shootin' its not gonna work on a 1" or 2" stack.
I'm all for creative and frugal solutions but as time has passed I've resorted to buying proper tools for the job:
Han-D-Mag
Tentelometer
Spring guages (stopped using my home-brew versions)
Analog oscilloscope (vs. soft-scope)
DMM with audio-band spec
These are all things I tried to work around by using home-brew or cheap solutions and in the end it just caused me more headaches. It all depends somewhat on how deep you are going with the maintenance aspect and what your standards are, but I'd say the demag unit is the most no-brainerish on the sample list above.