That’s a non-sense. Think that to use a SSD you don’t need any special driver or precaution, you just plug the drive and work with it like any other drive. That’s because the logic controller in the drive takes care to translate the SATA commands to its inner hardware structure and behavior, that it’s very different of a normal drive.
In fact, there are some minor optimizations for SSD, but it’s just to improve (a little bit) the life of the drive, they are not for compatibility.
So you’re safe cloning a drive to a SSD, you will be moving data for one drive to another. Let the controllers take care of the logic considerations.