Geek, I'd suggest you read the results of your google searches instead of merely pasting the links to them as proof of whatever you were searching for.
There is nothing to support your wild claim that Cloning from an HDD to an SSD is inherently unsafe.
Why do they say that?
Because they are not proficient in English. Just read the first sentence. It's gibberish. "To copy or clone hard drive, you should first figure out that a third party disk clone software is necessary."
Contrast with
This corresponding article from Macrium and the language barrier in the first one becomes very clear. The Macrium Article mentions little regarding SSDs, but does note an option regarding SSD TRIM for target drives.
I had no strong feelings for or against Easeus but I'll be avoiding them going forward if that is the quality of their copy. Not to mention the 2 pixel high font their pages use.