Hi,
Sorry for late reply.
As SSDs keep record of overall written data, and I don't want to accrue TBs of it, I I'll experiment on another Acer laptop that's HDD vs SSD, details provided below. Once I succeed here I'll do the same on my SSD one, that initially mentioned. For this task I'm using a SATA to USB adapter.
Aspire V5-573P-6896
Model: ZRQ
BIOS: V2.13
CPU: Intel Core i5 4200U 1.6 - 2.3GHz
HDD: Toshiba MQ01ABF050
Replacement HDD: Samsung HM500JI
RAM: 4GB onboard
A little progress, but still not perfect. I tried Macrium, EaseUS Tofo Backup and Paragon Migrate. Outcome is the same for all. Unlike AOMEI Backupper, these do clone it in a way that hidden partitions are hidden, system is not. Even Windows starts properly, however, system recovery doesn't work. I'm getting "Your PC/Device needs to be repaired..." after Alt+F10. I'm not a real specialist, but is it possible that something in BIAS matters? Please also see some BIOS screens below.