@pkvintage
I couldn't find a manual for your v2 version on the Audionote website.
I would suggest you try your Koetsu straight into the phono without a step up and you will get a feel for how much extra gain, if any you need. If for example you have enough gain, but the volume pot is high and you are getting a high noise floor, then you would need a low gain step up - say 1:5 to 1:10.
I use to run a Koetsu black goldline straight into my modded Marantz 7 mm input at 47k, and had plenty of gain with low noise floor when I used sensitive tube power amps - eg Quicksilver monos at the time and some power amps.
These days I use a custom built current mode mc step up into the Marantz phono.
I believe Sutherland produces something similar - Sutherland SUTZ.
I have some pretty exotic SUT's in the cupboard and none of them are as transparent as the current mode step up. I do concede though that some folk like the "sound" of a SUT - they are all different.
You could always go a buy some vintage SUT's such as the Entre ET100 at a modest price to have a play with before you spend up large
I would suggest you contact Audionote with the serial numbers of your unit sop you can confirm exactly what the specs are for your phono.