Certainly you’ve missed word “serious“ , my comment was about turntable setup in general , partly about Rega in question.
But back to your post , yes I do own few test records mainly from 60’s and couple recent ones and I also use different software, oscilloscope , frequency counters , etc ... , in my opinion or you try to do something right or don’t do it at all.
Obviously you need to make sure test record has to be accurate and have more than one as they wear down , as a rule of thumb good manufacturers replace test record after taking maximum 20 samples.
Speed check I cannot see any other way than reference tone played on the turntable as you need to do it real life with cartridge drag taken into account , some manufacturers like SME set speed bit higher to account for it .
Wow and flutter you’re correct no need to change it but is good to know if turntable is worth setting up at all .
Azimuth /phase , very much overlooked by everyone but not rightly so , yes you need oscilloscope or some sort of software and yes it could be changed with spacers between headshell and cartridge , best way to put spacer in the centre of cartridge and adjust azimuth with mounting screws , sort of Ortofon Cadenza way.
Always you need to check frequency resonance as cartridges vary from sample to sample and compliance wise , I had to send one back as was way out , it gives bit of info about suspension.
Frequency sweeps are important with any bit of audio equipment, how do you know if your setup is right , I know what you’re going to say -you trust your ears as you’ve been into hifi for so many years let’s just leave things this way