the Torii is a push-pull design, where the SE84 variants are single ended. The Torii is more dynamic -
period. This especially becomes more important as the efficiency of partnering speakers goes down. I have owned both and I kept the Torii, it just sounds more like "live" music to me - especially at low volumes. The SE amps definitely have their charms too. You choose your priorities and you makes your decisions - or you just get/have/keep both and have more "toys" to play with to match your mood at any particular point in time. I go through "periods" of time where I listen predominantly to one type of music and I adjust my system for the best synergy for whatever type of music I'm listening to at the time.
I have owned the Decware 945's, I currently have two variations of the Betsy Baffles, and I have custom Hawthorne Audio Trio's, which I have run the Hawthorne 15" coaxial in the middle(full range) position of the baffles. And I replaced the coaxials with Audio Nirvana SCF-15" ferrite drivers. And I have recently replaced the Audio Nirvana's with Lii Audio 15's. The AN drivers are very sensitive, in the 99 db 1w/1m vicinity, and the Torii driving these brings the performers "into the room" like no other speakers I've ever owned. The Lii's are a little more refined sounding in the upper mids and into the treble (as far as they go) but seem to be a bit less sensitive than the Audio Nirvana's.
For a comparison, I also have a pair of Martin Logan electrostats, the Vista model. These driven by 100's of watts of class A/B or Class D amplification do not even begin to compare to the OB Trio's w/Audio Nirvana or Lii Audio drivers driven by my Torii. when it comes to just about everything, resolution, dynamics, low-volume liveliness, etc. In fact, one of my audio buddies, nicknamed my electrostats "slow-gans" after hearing the Torii and Trio OB's with the AN drivers. The electrostats will "get it done", but you have to really turn up the volume to begin to approach the Torii and modified OB Hawthorne Trio's.
But they never quite make it all the way "there".You just need to try and hear combinations of both, and choose what you like best. Nobody can tell you, what you will like best. We can only share our "subjective" experiences and opinions. YM
WV.

P.S. my Torii is a MK.III. it has the output cap upgrade and stepped attenuator. I have A/B'd it to a MK.IV - and I like the III better for crossover-less, full range, high efficiency speakers. I don't anticipate ever parting with my Torii III. I have a friend who also has a Torii III, and he recently told me that he planned on "having it buried with him"..
He pairs his Torii with Betsy Baffles with the Wild Burro Betsy W.O.W. driver and the Dayton OB AMT tweeter. This is one of best speakers I've ever heard - cost not considered - though they are dirt cheap by audiophile standards. Sub/s required IMO.
And my Trio's have two 15" Hawthorne Augie's per baffle - 4 total = mid-bass weight, space and presence you can feel - even at low volumes.
Get the highs and mid's where you like, and then add bass if you feel the need. But there is a reason "they say" bass is the foundation. I don't know that I necessarily agree with that 100%. I think you need a "balance" that floats your own boat across the entire frequency range. After all we are all "individuals" and we each hear and perceive sound a little differently and place different priorities on the various aspects.
Whatever blows your hair back - is all that should matter to you.