As the error via linear approximation approaches similar magnitude as numerical error via quadratic computation, don’t the two start becoming comparable in practice?

I ask because in practice, for inference, attention is typically computed with low-precision (4-bit, 8-bit, 16-bit) floats.

Numerical error, in fact, may be a key factor as to why quadratic attention, in practice, exhibits context rot as context gets longer, analogous to an RNN:

https://www.anthropic.com/engineering/effective-context-engi...