Phono stage matching - how critical


How critical is it to use an MM cartridge with an MM phono stage and an MC cartridge with an MC phono stage?
My phono stage is designed for an MM cartridge; however I'm using a Benz Glider on my Classic 3. The Glider is high output so I'm not having any issue with gain. But would my system sound better if I used an MM cartridge such as the Soundsmith Zephyr?
rockyboy
By the way the Soundsmith isn't an mm design- a point suggested by some of the responses to the op.
The more critical matching is the phono stage to the preamp / line stage. If the phono stage is a tube unit with higher output impedance and the preamp / line stage is a low input impedance solid state unit. the mismatch will negatively impact the phono stage performance.
Dear Bpoletti, What you write is true in principle but is hardly ever a problem in practice. Nearly any worthy SS linestage will offer at least 10K ohm input impedance, and nearly any tube phono stage will offer an output Z of less than 2K ohms. Usually it's more like 1K out into 20K to 50K.

Wrm57, I am way into vintage MM/MI cartridges: Stanton 980LZS (which is actually low output), Grace Ruby, Acutex LPM320, Grado TLZ are among my favorites. I do also like low output MCs. As a group, HOMCs rank 3rd with me, which means I no longer ever use one.
Lewm - Minimum should be 1:100 ratio between the two. It is supported by more than one manufacturer.