Both sets will handle way more power than they're rated for. I ran 175wrms per side to my SE coaxs with 63hz HPF and had zero issues! I also used the Pioneers mids actively, same amp 175wrms per side to the mids alone, same xover point....zero issues!
Both sets can have great midbass, just, in my experience its easier to get it from the Pioneers and they sounded like mini-subs in my doors when I turned the HPF off just to see what they could do. The Bostons like a good door seal and they'll pound out some nice midbass. When I was testing them in my room in that box in the vid I posted up there, I ran some test tones through them full tilt and they made my glass doors on my entertainment center rattle a little bit. Pretty impressive for 6.5 coaxs on about 50wrms in my room and it only got better once I put them in my car on way more power.