Matching favourite Stylus to another Cartridge

Are all of the technical specs, like output voltage, channel separation, frequency response the domain only of the stylus itself or does the cartridge itself influence it in any way?

Are you talking about MM cartridges ?

Surely you CAN’T use a stylus from one manufacturer on the cartridge from another, because each stylus designed for certain signal generator, so forget it. There is a cartridge impedance, inductance, compliance ... these parameters are different from one model to another, you can ruin the sound using mismatched stylus. 

If you can't find original stylus replacement for your cartridge then you can look for JICO replacement made for your model, it is not the original stylus, but made especially for certain models of cartridges as modern replacement. JICO SAS are the best and most expensive. You will have to find your cartridge model in the list of compatible cartridges. 

What cartridge are you talking about ? 

So you’re talking about Ortofon Arkiv cartridge designed for deejays, this is professional series of cartridges. You’d better use a styli from similar concorde or om series with it.

If you want a better cartridge just buy entirely new cartridge with better stylus
Arkiv is a muddy souding cartridge like every model in Ortofon professional line, they are durable and stable, this is the only benefit of them, but not the sound quality.

Something like very cheap Grado Black or Grado DJ200i (Moving Iron) is much better for about $110-150

Then you have plenty of time to learn and try much better MM/MI cartridges to understand what analog playback is all about, because Ortofon professional cartridges are not about sound quality, it’s all about high output and durability for professional needs where the signal heavily EQed on deejay mixers (and often compressed on club’s PA). I tried them all, absolutely all of them when i used to run a small recordshop, we’he been selling Ortofon cartridges, not only records. And i’ve been using them myself 15 years ago expecting that Concord Gold could be better than Concord Night Club (or OM), it was a waste of time. They are all have bonded (not nude) diamonds with only two profiles like spherical or elliptical. Styli often cracks (plastic holder). They are all low compliance for use with very high tracking force (record wear factor is high). 

My advice is to stop using them and open much better sound for yourself, you can do that with Grado and with Grado you can upgrade with different styli on the same Grado Black (or Grado DJ100i or 200i) cartridge. Take a virtual tour of Grado factory in NYC.

If the budget is low you can also look for Nagaoka MP150 series or Audio-Technica cartridges made for hi-fi, not for professional market. They are all much better than professional Ortofon series.