I was under the impression that when you're streaming the weights from disk because the full model won't fit in memory, that it is solely reading from the SSD, not writing, so it wouldn't be causing wear on your SSD.
[0] I heard this being an issue with TLC, I don't know if it also applied to MLC or SLC.
[1] I suspect in practice they use an error correction code and rewrite blocks that read with corrected errors.