Having owned and gigged an L2500 (Tribute; the electronics are the same) for more than two years, and now being a Peavey Cirrus player, I honestly would say just pan your pickup blend toward the neck. It has the significant points of the tonal profile of a P-bass. The rest is EQ'ing out highs (5k). ...
No disrespect when I say this (after all it is all opinion anyway), but I could not disagree more with your post. I have had an American L2500 for 17 years and a Peavey GV for 16 (basically a Cirrus and I have played the Cirrus before aside from pretty woods and neck through on the Cirrus and Graphite on the GV they feel and sound nearly identical; GV preamp even has Cirrus stamped on it if I remember correctly). The L2500 has significantly more growl and power than I could ever coax out of my GV. The series/parallel switch on the L2500 offers tonal variation that the Peavey could only dream of achieving (even with a 3 band 18 volt pre). Add the K-Mod to the L2500 and you add a single coil mode to the series parallel switch (even more options). I will agree with you that the active mode is just a boost (and as hot as the MFDs are on the L2500, it kind of does not need a boost). However, I will add that there is also a treble boost mode. Bass is passive, active, active w/treble boost.
I also agree that if OP likes the 35 inch scale and neck on the Cirrus the L2500 may not be for comfortable. I personally find the L2500 more comfortable than my GV, not that I dislike the feel of either.
I am not knocking the Peavey with this post (just like you were not with the L2500), after all I have kept mine this long and added an American made Millennium to my collection years after buying the GV. My point is there is no way I would take a Cirrus over the L2500 for the genres that the OP described (granted bass choice is a very personal thing and bass is only one piece of a larger tone puzzle that includes technique, amplification, speakers, etc.)