No sane person claims better specs for vinyl playback compared to digital.
Vinyl playback is electro-mechanical, therefore it includes much larger errors than digital encoding/playback.
But, being an electro-mechanical playback system, it is subject to resonances all through the playback setup.
I mean, think about it: A tiny stone on the end of a tiny metallic tube connected to a tiny magnet inside a tiny electromagnetic coil, attached to a long metal tube with tiny wires running through it (resistance, capacitance, friction), terminating in a pivot, then out through a longer cable (capacitance!) to the electronic frequency corrector/preamplifier. It's amazing it plays anywhere near decently!
Just like with speakers, the constructor needs to balance the inevitable system resonances to end up with a pleasing sounding playback. (Of course the goal is zero resonances, but nobody gets there in a vinyl playback system.)
These resonances are (should be!) entirely absent from a digital playback system.
I'm sure it's the 'sound signature' of the vinyl system's resonances (or relative lack thereof) that account for the differences in sound between tonearms and turntables.
I disagree with the idea that an AT-LP120 sounds exactly the same as bigger, heavier, beefier turntables. I have three good turntables, a stock Technics SL-1200mk2 from 2009 (built like a tank!), a Thorens TD124 (rebuilt motor, upgraded mechanical parts, etc.) with an ATP-12T tonearm and a Fairchild 412 with a Japan Piezo tonearm (even more of a tank!). They all sound good in their own ways, and they all sound noticeably different. I just helped a friend buy a vintage turntable, a 1970s Sony belt-drive in very good playing condition. That sounded different from my Fairchild, and my friend noticed it right away (the Fairchild sounds noticeably better, fuller bass, cleaner stereo imaging, lower perceived noise)... And I haven't gone into the differences in sound between cartridges yet (which are *significant*, and dependent on loading, effective tonearm mass, etc.).
Yet, vinyl playback can sound more 'fun' than good digital. I don't know why. But since I collected something like 3,000 records over the last 50 years or so, I figure I should enjoy them. And so I do...