A hybrid SSHD unit is installed exactly as a pain mechanical HDD - no special changes to anything.
AVR2, there's one "trick" to changing to using AHCI without getting complicated. You need to set the SATA Port Mode to AHCI BEFORE installing the new drive (on your case, the SSD) and Partitioning and Formatting it. Doing the initial setup and installing Windows first sets it up like an IDE Emulation-type unit, and changing that later can get complicated. I am not sure, but I suspect that if you simply CLONE an older HDD that was used in IDE Emulation Mode, the settings thus copied to the new unit also make it at least somewhat like a non-AHCI unit. Maybe that's why it performs poorly when you change the SSD's port's mode to AHCI. It probably runs into errors and has to re-try many operations.
I have not delved deeply into these details. I have a new SSD I'm about to install. But I'm also upgrading from an old Windows to 10, so I will do a complete new Install. I will back up both my old SATA units (used in IDE Emulation Mode), then wipe each completely clean, set their ports to AHCI mode, and restore all the old data from the backups. So I won't be cloning any old Windows configuration files.