Yeah, SSDs are actually much more difficult to recover data from.
With any modern SSD, and a OS with TRIM turned on, data that is marked for erasure is pretty much immediately cleared and irrecoverable.
Assuming the commands are implemented correctly (one would hope so!), this is the case. The not-even-brand-new guide I linked to above does recommend relying on the drive’s block erase command (and verifying that the data looks gone) if you are not going to physically destroy the drive.
That’s total overkill. One pass overwrite gets you past the point where the drive itself can read it, and recovering past that point requires serious, expensive and time consuming clean-room type forensics analysis, if it can be done at all. The kind of thing that’s going to cost thousands of dollars at a minimum.
And generally speaking, nobody’s going to go fishing on a random HD like that, just to see what’s on there. They usually have a GOOD reason to do it.
I do this with my old hard drives before disposing of them an an e-waste location. I also salvage the strong magnets and use them on our fridge. One of those will hold up 20+ pieces of paper.