In fact just the opposite. Because there is no hpf the amp is going to waste a ton of energy on frequencies you can't hear, and push your cabinet into early part out. You will be lacking bedroom in terms of the amp and what ever cab you pair with it.
That's true only if you're thinking in terms of bass guitar which has lots of extraneous "amusical" sub-sonic sounds and noises happening. Just resting your hands on the strings a certain way might cause a very low frequency noise to come through the amp, which yes, would "steal" your power while it is happening.
But coming from a synth, it will be "sterile". You won't have all those extraneous noises to contend with, just that deep deep synth loveliness. So the lack of an HPF is an asset in that case and not a liability. Better to control those extra low sounds at the source anyway (most synths have a built in adjustable HPF, don't know about the Minitaur). Otherwise you have to EQ back in what you just took out, which is not ideal.
I do actually play keys (for 1/4 century at this point) as well as bass (as well as guitar), and also do some sound/engineering work on the side, so I have a pretty good amount of experience with this stuff.
And I don't see how any of my comments qualify me as an "Ampeg hater"? I just don't think the SVT would be the IDEAL amp for this application. Just like a 50Wx2 McIntosh tube amp from the 70s wouldn't be the ideal amp for a club PA system. It will probably sound killer in certain applications, but not necessarily the overall ideal. Sorry I'm not one of the SVT fanboys who think it can cure cancer, balance the budget, and give great... It's a great amp, but not for everything and not for everyone. A Guild Starfire might be a great bass, but I'm not going to try to play downtuned technical metal on it.
Again, I'm sure you could get great, usable sounds out of that setup, if it's what you have on hand. But if you were building a purpose built setup for bass synth, no flavor of SVT is really what I would go with as my first choice. The HLF however, or any "big" (2x15/4x10 or bigger) low tuned, ported cab should do quite well though.