The Lyr is a hybrid amp and definitely has some tubey goodness... but not to the amount that, say, Schiit's Valhalla did when I heard them side by side. I'd sooner compare the Crack+Speedball to the Valhalla than to the Lyr. Makes sense... they're both high impedance loving OTL amps.
To circle back to your question... the Crack+Speedball would be more like the Lyr than the Soloist.
Yep, I'm aware of the design differences.