I agree that brand matters.
Both types of storage use the same underlying memory technology (NAND flash) so there is no difference there. Mechanically there are also no moving parts in either technology, so no difference there either.
There are a couple of ways either of them could fail:
Hot plug or removal of the device during a data transfer. Probably more dangerous on a write of data vs. a read of data. The risk here is small though, as the device manufacturers know about this use case and design the device to handle it in 99.999% of cases.
Wearing out of the underlying NAND. NAND memory can only be written a certain number of times before it fails. The device manufacturers know this and design around it as best they can, but if you read the fine print the device is only waranteed to store data for a certain number of terabytes - past that point it is possible for the underlying memory to wear out so much that it just can't hold data any more. With average use, this will be many years, but if you're an extremely heavy user over a long number of years (5-10), you could see it.
Bad firmware or hardware. This is where the manufacturer comes in. There is actually a fair amount of firmware/hardware that manages the memory itself and the data transfers (and the blinky light on your USB stick if it has one), and sometimes there are defects here. Happens to everyone in the industry, but less often to the higher reputation manufacturers. Personally I would trust Micron and Samsung and Toshiba, but would stay away from Sony and Kingston and any other off-brand names.
There are other failure modes but they are much less common.
If you're storing important information on them, I would make certain that you have a good backup system in place (cloud, another drive, whatever).
https://superuser.com/questions/594357/ssd-sd-emmc-raw-nand-what-are-the-differences