I don't know if there's much difference between resonance and sizzle. But maybe resonance means a lot of overtones and sizzle means a lot of high overtones. A leadplayer looks for sizzle and projection. The sound is centered with a lot of energy. I think when a classical player is looking for projection, he means that his sound is well heard (not loud) but is broader, not so centered as compared to a leadplayer.
I think a good leadplayer and a good classical player are thinking more or less the same thing when playing a tutti. I personally try to swing as hard possible. When you have a good band, I'm just enjoying the music and play my part as musically possible. When the band is not so good, I'm trying to keep the band together so my chops will suffer a lot more.
With keeping the band together, I mean articulating stronger and clearer. Sometimes it means that I play louder. Dictating the time and frasing stronger.
I could be wrong off course (I'm not a classical player)...
