Having owned an MPulse600 and currently owning a TF, I'm not quite sure about the above. The MPulse if very tubey, but I always achieved a very clean tone from that amp... closer to the Aguilar 680 pre than, for example, an SVT or the Big Block750.
So, with the input gain set so that you get a clean sound, are you saying that even when turning the master up to a high level, you aren't getting enough volume? That doesn't seem like it should be happening.
I prefer the TF to the MPulse primarily due to the nature of the low end, with the TF being very tight and punchy, and the MPulse being very wide, bloomy and tubey. However, the MPulse put out massive volume (IME more than the TF) and still stayed very clean.