Kevin O'Connor states in one of his books that paralleled triode results in 30% increase in gain and no increase in floor noise. I don't remember him saying that it ever reduces noise in contrast to his statement it doesn't increase noise. ...
When seeking to reduce noise, the Old Books first blamed resistors, noting that there is an amount of noise that is unavoidable that is proportional to resistance, and due to temperature being above Absolute Zero.
- So plate-load resistors and grid-reference resistors are
noise generators.
- Few point is out, but
faulty resistors contribute more noise when there is large DC voltage across them: plate load resistors.
- The grid-reference resistors tend to be high-resistance, and unfortunately have gain afterwards. So they are critical.
- This leads to noise being "referred to an equivalent grid resistance" to describe the amount of noise.
RDH4 page 783:
"The equivalent resistance for shot-effect valve noise is
inversely proportional to the [transconductance (Gm)]" [so maximizing Gm is helpful in reducing tube noise].
- Paralleling tubes gives a single "composite tube" with half the internal plate resistance and twice the Gm.
- Whether said explicitly or implicitly, authors lean on this "Gm-doubling" if/when they claim parallel triodes reduce noise.
NOTE: You probably need to halve the plate & cathode resistor values to allow the double-current that results in the double-Gm if these tubes share components. Tube Gm is proportional to plate current, and Gm falls with lower current.
The noise-reduction is likely small, and a material reduction of noise usually requires attacking from several directions.
However, we're talking about random hiss noise, not the hum Hoodnight mentions, which is likely the result of some other cause.