Are these two optical drives interchangeable?
They are not interchangeable.

ATA is also referred to as PATA (Parallel ATtachment or IDE). SATA is is Serial ATA or Serial Attachment.  ATAPI (ATA Packet Interface) is just the drive communication protocol used to "talk" to the drives.

Using the "larger" drives as a visual reference since the micro connectors' size in a laptop can be deceiving, we can see the huge difference between a PATA connector and the SATA connector.




Even though they use the same protocol, the two are completely different.  A protocol is how devices communicate (what runs over the cable).  

Let's use a more common interface, electricity, as an analogy.  Even though the exact same thing (electric current) runs through these devices, they are no way "compatible."  The first picture is a US 220V appliance outlet and the second is a common PC electrical plug.  If you were to get one connected to the other, it most definitely wouldn't work (ever again).