you are moving PC files
That will not suddenly make the save move from a PSone memcard to the PS2 memcard you don't even have the PSone memcard hooked up to copy the save over to the PS2 memcard/s
What I ment was hook the PSone memcard to the PS2 as well as the PS2 memcard, then you boot to the bios and use that to copy the save file over I forgot you are emulating this though, then I am not sure how to go about doing that, if pcsx2 does not support PSone memcards
P.S. upload your PSX memcard + PS2 memcard files and I will try and figure it for you/do that for you
I can possibly do this for you using real hardware as I still own a PS2 that works and use a couple of memcard editors and FTP &/or USB to/from my PS2 I will look into that more once I have your memcard files