I'm exploring the issue because of a situation where we explicitly do not want to use a real tube amplifier. There are various reasons behind it, but ultimately being able to model the tube sound and ignore the interactions between the amplifier and different speaker loads would be extremely helpful. A filter will also let us play with some of the parameters to emphasize or de-emphasize specific aspects (e.g. harmonics, frequency response fluctuations).
None of this can be done efficiently or cost-effectively with a real tube amplifier, or rather the many different amplifiers you'd need to individually measure and experiment with using a specific speaker or set of speakers.
Edit: Basically, some example filters would be helpful as a starting point and to at see if the approach makes sense.