The Tannoy models with pepperpot/alnico drivers (from Kensington SE on up) are all more resolving than the tulip waveguides (the Churchill being the ONLY possible exception here), but they don't have anything close to a "hifi, edgy" character unless your upstream gear is as such. In fact, I find the alnico Prestige models to be both more resolving and more musical than the tulips -- well worth the extra cost. The aforementioned Churchill was a bit drier in the midrange compared to the slight sweetness of the Kensington/Yorkminster/Canterbury. Though, note that I only auditioned the Churchill once so my impressions on it are not as solid. From the tulip waveguide group I've heard: Turnberry, Genair 10 & 15, Dimension TD10 & 12, Definition DC10 & DC8, etc.
I also think that the Prestige models are more coherent sounding from top to bottom than the S5. The Tannoy bass is better integrated into the music, in my opinion.