You will get roughly 1.5V of signal out of the Eros with 5mV in.
The AR SP-9 gives the following specs:
"Line-stage gain: 21dB to main out (CD stage 12dB lower gain), 0dB to tape out."
If we apply the full 21dB to the signal from the Eros, that will give you 16V at the output, and of course this will drop a lot if you're using the tape input or CD input.
It looks like the actual gain of the phono stage in the SP-9 is ~46dB, which is similar to the Eros, but it goes through all the gain circuitry in the SP-9, including the preamp circuit, hence the total of 67dB.
It is also very possible that all of the inputs are padded on your particular preamp, I would recommend downloading a 60Hz test tone to your phone, then sending a very low level 60Hz tone through your preamp at max volume. Keep the input level down around .1V AC (measure with your volt meter), then measure the output. You can do this for all the inputs except the phono input, as that circuitry has an EQ applied that will give you erroneous readings. I would recommend doing this regardless of any other conditions, just to understand how your preamp may be optimized.
Ultimately, two different phono preamps from two different manufacturers are very unlikely to have the exact same gain, so having to adjust the level between the two is not surprising.
-PB