Can one have too many tube components in a system?

Especially if one has sensitive speakers? For myself with ZU Omen defs, I have to keep an eye on the gain of the amps I choose since my BHK runs tubes. If gain is too high, tube hiss becomes an issue. However, I see people with tubed amp, tube pre, tubed phono pre, tubed dac......doesn't the tube his (just like tape hiss every time you copy a tape over and over) intensify with every component? Or to pull this off one needs less efficient speakers?