Do many components with tubes have an additive effect?

Quick question for those of you with tube experience... Do tube components have an additive effect? In other words, does a tube CD player connected to a tube preamp connected to a tube amp have an additive effect in terms of distortion? (Let's face it tubes sound smooth because the distort sound and give it that warm smooth character) I am looking at the Anthem line of hybrids (Pre2Lse and AMP2se) which are hybrid ss/tubes... I like their sound but if I also go with a hybrid CD player (the Ah! Njoe Tojeb) will the music be too glassed over and not detailed enough?


Thanks,

-Bob