Lets take this one step at a time… first of all, get the frosted glass effect right(ish) with opaque objects behind it. Next, put your transparent textures behind it.
I get the transmission through the frosted glass object to work if the transparent texture object’s blend mode is set to “opaque” but not if it’s set to “alpha blend”.
(two seconds later)
I just realized that if I tried “alpha hashed” or “alpha clip” it works. So… solved, I guess?. I’m including screenshots and the blend.