It would have to be very misbehaving software or deliberate sabotage.
It's now common for consumer SSDs to have less DRAM than the normal 1GB per 1TB ratio, but they run their FTL with the same 4kB granularity and just don't have the full lookup table in RAM. There are at least a handful of special-purpose enterprise drives that use a larger sector size in their FTL, such as the 32kB used by WD's SN340: https://www.anandtech.com/show/14723
Normally, SSDs and operating systems both use aggressive caching to combine writes. That's the only way a drive can turn in extremely high random write benchmark numbers. Consumer SSDs do this caching even though they do not have power loss protection capacitors to ensure that data cached in volatile SRAM will be flushed to the flash in an emergency. But it wouldn't be smart for the caching to wait forever for more writes to combine with a sub-page write, which is why I'd be concerned that a slow and steady trickle of write activity may be able to cause serious real write amplification.