If your rectifier tube is putting out lower voltage than optimum, then your tubes will not be turned on as hard as the designer intended. This will lower their open loop gain, and assuming an amp with feedback, lower the feedback and increase harmonic distortion too.
In general, dynamics will suffer, bass will get muddier, and the entire musical presentation will loose clarity.
The advice to make sure you have good rectifier tubes is good advice.
Frank Van Alstine