I didn't think you were talking about touching the crossover so much as trying to replicate its action with the Bryston active crossover. Dynamics would be improved only if you were to power the drivers directly, bypassing the passive crossover. If you were to "split the signal" with the external crossover, this implies using a high pass to the tweeter input and a low pass to the lo/mid input, with a slope of, presumably, your choice. This most definitely would interfere with the intended design characteristics of the Harbeth crossover since, at the least, the slopes of the passbands would be steepened.
If I understand you correctly - that you intended to split the signal and then go through the Harbeth crossover - then virtually as much benefit could be gained from a vertical bi-amping scenario with the amps you originally suggested (125 WPC) verging on overkill for this application (which is always nice) and probably serving your next upgrade to the larger and more sensitive Harbeth, once you get thoroughly hooked on the Harbeth sound.
I would definitely recommend two 125wpc amps over one 250wpc amp. You get more separation - not only between channels but between drivers - the option of very short speaker cables and the benefit of the fact that all things being equal, smaller amps tend to sound better than bigger ones.
I used to use a Sugden Au31, then two Au31s, vertically bi-amped, then Musical Fidelity A3CR on my Harbeths. Now I don't use the Harbeths at all, they have been boxed and ready to sell for 3 years and I've hardly used them for the last 14 years, since I got my replacement studio monitors. My original idea was to make the HLP3s, in conjunction with the Hsu 10" sonotube subwoofers my main monitors, used at about 4' listening distance. As I said earlier, I never could achieve a satisfactory blend between the HLP3s and the subs. When I got my Tannoy Ardens (15" coaxials from 1977 in big ported boxes) I found that
1] I was immediately able to mesh with the subs at around 40Hz
2] I was getting the best quality bass I had ever had, and one of the best I (or any of my clients) had ever heard. As an aside, I now know that while really pleasant and fun it was not all that accurate and thus my mixes would not "translate" well in the bass region to other systems.
3] The Tannoys were so dynamic by comparison that although the highs were ragged and crude by Harbeth standards, the overall effect was so much more relaxing that I basically couldn't stand to listen to the Harbeths, and so didn't. By contrast, the Harbeths sounded constrained, to put it politely - constipated, to not. They basically just sat there on their little stands in the nearfield for about 10 years before I decided that they had outstayed their welcome and I packed them up.