I'd be happy to call an amp with an SS rectifer, plus an opamp driven reverb or FX loop, "all-valve".
As long as all the amplification, tone-shaping and power stages are valve, that's what matters. The signal is not being processed by a solid state device where it matters. Reverb purists would want a valve driven reverb too.
However, there's quite a few amps with opamp driven overdrive channel or boost. The Koch Studiotone is one, and the H&K Statesman another I know of. Those amps are not all-valve when you engage the 2nd channel or boost. You often read in reviews of these amps that the high-gain channel doesn't sound as good as the clean channel!
Sag: overrated, and little understood. Not always desirable anyway. Having a valve rectifier doesn't guarantee sag; operating class, level of bias and power supply "stiffness" also contribute to it.
Many of the best sounding amps you can name will have had SS rectifers, with no-one complaining that they "didn't have enough sag."