At the time I bought them, I think 12dB was the biggest attenuation offered. There are no theoretical downsides to greater attenuation as long as the impedances work in the system. On the plus side, greater attenuation improves the input:output impedance ratio.
The problem with impedances is still real though. I have been able to find very few measurements and zero manufacturer's specifications of the input and output impedances of these devices. Tube preamps prefer to drive a much higher impedance than many solid state devices offer, so that's important. The risks are (1) loss of bass, unless the output capacitor of the driving device is increased, (2) increased distortion, and (3) current clipping if there is a cathode follower. High frequency loss is uncommon in practice.
I have three data points:
1) I bought some inexpensive attenuators sold for use in car stereos, which turned out to have very low input impedance, around 1K-2K ohms IIRC (it was a long time ago!) - far too low for most tube preamps to drive comfortably.
2) At the same time I bought some Harrison Labs 12dB - the ones I use now. They have a 10K input impedance, which is uncomfortably low but will work with at least many preamps, including Foreplay, if you don't push them too hard.
3) The Rothwell 10dB attenuator has a 30K input impedance, as measured by someone on the Audiogon forum. Almost any tube preamp can drive that happily. I don't know the impedance of their 20dB attenuator, but it's likely in the 30K-100K range. They cost more, and come from England, but the dollar:pound rate is favorable at the moment :^) Maybe I should snag a few for myself ...
Incidentally, Schiit's $50 passive preamp is 10K and has a volume control for adjustable attenuation. You can use this to determine the ideal attenuation, and then if you wish modify the inputs with fixed resistors to match the setting and optilize the impedance as well:
https://www.schiit.com/products/sysOn the question of preamp inputs, CD players often have 6 to 10dB more output than typical MM phono preamps (including Seduction/Reduction) with typical 5mV cartridges, so you may find you just need one on the CD input to make the volume settings more similar.