yes, I have alpine 6.5 type R components and it sounds okay but nowhere near good quality as my boston pro 5.2 that I had from 1990(one tweeter is blown).
But the type R cost is almost half price as boston pro, focal, rainbow, infinity kappa. When I first got my type R and powered up with my infinity 740 amp feeding only front channels at 112x2, no rearfills. I was disappointed at the low volume levels, so I bridged the amp into 2 channel feeding 278x2 into my typr R and it was loud and clear. Sat there and rang bunch of music, highs sounded good but not like boston quality, midbass was good but nowhere near tight as bostons, but then again bostons were 5.25 and type R is 6.5. Type R bass sounded more boomy and door panels rattle little bit, no deadner yet.
I have the type tweeter setting at +3db and it nowhere sounded loud or clear as my bostons. But for the cheap price, I don't think you could do better than the type R for right now.
If I were you, suggest first to just power up the front type R and disconnet the rear speakers and feed the type R with that jl amp more power, just bridge it 2 channel mode and see what you get. Yes, the woofer does distort at high volumes on some low bass notes. ALso the efficiency rating is kind of low on this type R compared to other components. ALso remember that bostons are 3 ohm so probably getting more power. I had my bostons running with ads pq10 at 80x2 and it sounded better than my 278x2 alpine type R, somehow sounded more clear and louder. But I didn't really do very ideal same condition test, just recalling from prior listening test.
ALso loudness is very much effected by the tweeter location to my ears so try different mounting location for the tweeter.
final conclusion, I would say type Bass woofer is good as other and can get very low notes but distorts at some really low bass,,, so cutoff frequency is needed.
the tweeter is just not cutting it at all compared to the higher models of different brands but is heads above shoulder when compared to other brands within the same price range.
I like to get some bostons, focals, rainbow but there all $$$.