Tubes In Preamp Power Supply...or Not?

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Two tube preamps:

The Audio Research Reference 3 has a total of six tubes. Two of those tubes are in the power supply. (2004)

The Audio Research LS27 has a total of two tubes. The power supply is solid state...No tubes in the power supply. (2010)

The LS27, according to Audio Research, outperforms the Ref3.

The LS27 is six years newer, though smaller and 13 pounds lighter.

LS27 tube complement: (2) 6H30 dual triode. (Hybrid JFET/tube audio circuit, solid-state power supply).

Ref3 tube complement: (4) 6H30P dual triodes, plus (1 each) 6L6GC and 6H30P in power supply.

All of the Reference models have tubes in the power supply.

Whereas the LS27 outperforms its bigger, older sibling, what sonic differences do tubes in the power supply make vs. a solid state power supply in a preamp?
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