Aside the Etna's, I haven't found out any other designs or plans about possible Asian cruiser-plans. Been digging the same area lately by myself also. That ROCN battlecruiser plan was new to me, in which sources it is mentioned?
From a Chinese Book: https://isbnsearch.org/isbn/7547409490
It mentions that in 1913, the ROCN’s naval department have a grand plan for a modernised fleet consisting of numerous battlecruisers, armoured cruisers, destroyers and torpedo boats. Of course, given the situation at the time. There is no way they will be granted the funds needed. The Beiyang government actually approved of the plan but no funds were ever granted.
I will try to get a picture up.