One thing I learned when I was an electronics engineer in a former life was if a manufacturer can save even 1 cent by not putting a component in even if it means quite an improvement in performance they simply won’t do it. (TV's in particular) Only the better ones where price is no object will favour the performance over price.
The thing with diodes is they introduce a voltage drop eg 0.6V. A bridge rectifier will introduce two voltage drops eg 1.2V I know most cheaper DC supplies can be over voltage anyway but some very well designed ones may put out exactly 9V for example. So by the time the two voltage drops are taken into consideration eg 1.2V then there is only 7.8V reaching the circuitry which may effect performance somewhat and that may be an issue.
I think you have to have even a cheap multimeter handy and check what is actually coming out of the connector on the tip and carefully check the markings on the DC input connector on the device. For me that has always been the way.
I agree with
Bill re polarity variables. I found the only way to actually test microphones properly is to feed a non symmetrical signal into a speaker
(that is known to be correct phase) then put the microphone in front of the speaker, feed the mic signal into a preamp
(which you know to not invert the signal) and view the results on a CRO. You can still see the non symmetrical wave even after you do this. When I checked all my microphones this way I found about a third of them were the wrong way around! I rewired of course and now they are all in phase. Pretty important for say a drum kit micing setup. Adobe Audition has a range of non symmetrical tones which are very handy.
It is also amazing what you find out when you test all the speakers in your PA this way too.