Matching favourite Stylus to another Cartridge

Hi guys,
from technical point of view i’m quite fresh to turntables.

Have stylus which i like very much (it’s definitely not an audiophile one- doesn’t matter) and don’t want to change it- unfortunately, the cartridge needs to be changed.
Here comes the trouble- this kind of cartridge isn’t produced anymore. I’ve found at least 2 cartridges from the same brand with quite similar specs.

So, here comes my question: 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?

Frankly: can any other cartridge than the original one have impact on the sound? Does cartridge body itself has any properties when it comes about sound quality and characteristics?

For some this question may be stupid, for me it isn’t- so, i’d appreciate every helpful tip very much :-)