Just to clarify how the Seagate drives work. Frequency of use determines what is stored in cache without regard to OS. Thus the OS you use most will end up with the most files stored in cache. What is stored in cache is determined by drive firmware, not OS software, so on drive cache storage is determined only by the drive itself. This cache is NOT reinitiated with each new boot, it is, rather, persistent in nature. Only changes in usage over time will modify its content. Additionally, this is TRUE cache. Everything stored on it will also be mirrored on the hard drive to protect against failure at the flash level. Thus nothing is MOVED from the hard drive into flash cache. Rather frequently accessed files are COPIED from the drive to the cache and on read requests, the cache is always checked first and proceeds to hard disk if the data in question does not reside in cache.
Essentially what doktor is trying to tell you is true. For serious speed the only solution is SSD. But with either single OS or multi boot, the hybrid drive should result in increased speed. But since everyone uses their computer differently, it is difficult to make any where near precise predictions. In other words, you will get mileage out of this, but it WILL vary depending on your unique usage environment. SSDs are coming down in price, but they are still pricey compared to conventional drives. So if you want speed without the extra cost, the only solutions are hybrid drive or software RAID0 and hybrid drive is less complex and more reliable than software RAID0. And it will likely focus the speed where you need it most.
Additionally, I don't think that your question is specific to Mageia, so you might want to ask this same question on a larger generic Linux forum phrasing the question as "Multiboot performance on hybrid drives?" or something of that sort. I had hoped that you would get an answer here, but this gets into an area that is a bit specialized so maybe not. But the question would definately benefit from a larger audience. I use
https://www.facebook.com/groups/GNUAndLinux/. With almost 80,000 Linux users as members, it is very diverse.