If Bajaman would be so kind I would love to read a few details on the tricks and techniques which are being employed to create these emulations.
Hello BlueMeany.
Happy to oblige

All of my designs start off by analysing the actual tube amplifier schematic in a spice program to determine the transfer characteristics including it's phase responses (most important) at all stages. Vacuum tubes have a relatively high output impedance and some amplifier designs use cathode followers in an attempt to lower this so that proceeding stages do not load the gain stage too much. They also work on typically 300 volts which allows a lot of signal headroom, especially as most tube gain stages used in tube amplifiers have typically 30dB of gain. A 1 volt signal applied to the input of such a tube amplifier section would potentially (ignoring load effects) give a 40 volt signal at the output - leaving a massive 260 volts of clean headroom

However, apply this 40 volt signal to the next tube stage and the tube will attempt to deliver 1600 volts - impossible from a 300 volt supply so the tube will be driven into heavy clipping. Without going into the exact nature of how the tube clips - there are plenty of articles on line that explain grid current construction, blocking distortion etc. I would recommend Merlin Blencowes excellent "Designing Tube Preamps for Guitar and Bass" for a more in depth study
Back to my pedal designs - 9 volts does not allow a lot of headroom and consequently gain stages have to be trimmed considerably to give the same clean signal response as the tube amplifier individual gain stages. In my attempts to mimic the response characteristics of tube amplifiers but at 9v, I have tried using jfets, small signal low noise transistors, cmos, cmos op amps and have discovered the most realistic and practical devices to be the humble Bifet input op amps such as the TL07* and the low current draw TL06* series devices - occasionally I like to use the high spec lower noise OPA213* devices as input stage devices to keep the hiss level down, but i have found that these devices do not sound as good to my ears as output stage devices. Of course these are only my views and you may hear completely differently
The Bifet op amp has a high input impedance like a tube when used as a non inverting gain stage and a low output impedance (unlike the tube) - I like to think it has it's very own cathode follower stage built in

The vacuum tube has a greater input capacitance compared to the bifet op amp and some designs exploit this with a small resistor in series with the grid - this in effect acts as a low pass filter and rolls off some high frequency harmonics BEFORE they enter the tube. the bifet op amp sometimes needs an additional capacitor fitted at the non inverting input to duplicate this tube response characteristic - some times the high frequency rolloff is achieved by placing a small capacitor in parallel with the feedback resistor in the op amp equivalent - sometimes a combination is used - whatever method gives a similar frequency and phase shift characteristic to the tube design
Before any attempt is made to recreate the tube circuit with op amps, I examine which stage clips first in the tube amplifier simulation and whether it is symmetrical or not. Then i continue increasing the signal at the input until the preceding stage clips and note whether it is symmetrical or not - i make a note of the input signal levels

In the meantime - hope this helps - check out the latest design Baja Ampeg SVT bass amplifier
cheers
bajaman