There are some things that are not just hard, but computationally infeasable. Triggering random bit errors and expecting to pass both the LDPC error correction as well as the extra checksum probably falls in this category.
I'm afraid I don't follow your suggestion that triggering SSD GC could somehow result in some other attack. This is simply the firmware automatically repairing the damage you were attempting to inflict. I don't see an additional attack vector here.
Since flash is already an unreliable media, hardware & firmware already works very hard to conceal and silently repair any errors before they accumulate to a data corruption scenario. This is very different from a rowhammer-type attack because there is an active CPU that already works to prevent this type of damage when it occurs naturally (or due to a naive workload that reads hot locations often).