What does Deming regression estimate? Least squares regression estimates conditional means.
Least absolute regression estimates conditional medians.
Quantile regressions estimate conditional quantiles (a special case of which is the absolute loss mentioned above giving conditional medians).
Analogously, what does Deming regression estimate?

I would say that Deming regression approximates something like an underlying data generating process.
That is different from a statistical relationship like conditional means, medians or quantiles.
