There are conflicting ideas on those crossovers. One camp says they help low-end power, the other says they're only there for noise reduction. I tend to agree with the latter, and have never seen a dyno graph proving the former. I had an R1100S with the crossover removed and noticed no difference in low end power, and that bike is geared fairly tall so you think I'd notice.
I have noticed a more definite and emphatic exhaust note when crossovers are removed. I have an 84 R100 that came with the dual crossover headers and hated it so much I cut off the rear and welded them smooth. Even if those crossovers aren't rusty and sealed tight together, they can be a bitch to separate. So usually, once they're together, they stay together and eventually the only way to separate the headers is to sever the crossovers.
I've been wanting to perform a xoverectomy on the LS for some time now. But the headers are in good enough shape I hate to hack them up (am I sounding goofy or what???) so am waiting for either a set of early headers or cheap dual xovers to modify.