Now for the downside.
While it is true that tube phono sections tend to have a higher noise floor, because of the much higher Voltage used to power the tubes, its much harder to overload them.
This is important because a LOMC phono cartridge generates Radio Frequency Interference (RFI) due to the fact that its an inductor in parallel with the capacitance of the tonearm cable (and the input capacitance of the phono section). Because the inductor in a LOMC cartridge has a high 'Q' (Quality) factor, the peak that is created has a high 'Q' as well so can be as much as 30dB higher level than the cartridge signal!
It does not matter that the cartridge isn't able to pass energy as high as the resonant frequency of the peak; it can be set into oscillation by ticks and pops on the LP surface in much the same way that spark coils energize spark plugs.
When this RFI is injected into the input of the phono section, the phono section can misbehave. It might be overloaded, in which case it will generate ticks and pops on its own. Or it might make distortion which manifests as brightness, or both. This is the reason audiophiles use 'cartridge loading' resistors. Its not for the benefit of the cartridge or the signal though; instead it calms down the phono section.
However this means the cartridge is driving a much lower impedance and therefore is doing more work. This causes the cantilever to be stiffer, in effect reducing compliance of the cartridge. This can in turn reduce its ability to trace higher frequencies or can cause the mechanical resonance of the arm and cartridge combo to be outside the ideal window of 7-12Hz.
Its much easier to design a tube phono section that does not have this problem than using solid state.
The benefits should be obvious: plug and play (no need for loading resistors), more accurate tonearm setup, wider bandwidth, lower distortion and very possibly less ticks and pops (the latter being one of the bigger complaints the digital mavens have regarding LPs). I'm very used to playing entire LP sides without ticks and pops.
Depending on the design of the solid state phono section, there
may be a problem with distortion rising with frequency, which can cause the phono section to sound bright. This can be caused by a design parameter called Gain Bandwidth Product, if its insufficient in the design to support the feedback being used. This is a concern even if the EQ is passive. By contrast, tubes are so linear that zero feedback can be used (with passive EQ) so this particular demon can be avoided.