I had an issue with my LSI last summer just a week before Oshkosh. My engine was starting fine, but would seem to intermittantly run rough - taxiing, runup, and in the air. I did the usual checks of plugs, mags, etc, but couldn't find the problem. With Oshkosh quickly approacing, I called Klaus at LSI and asked for help. After troubleshooting several items, he finally suggested that I check continuity on the ring gear magnetic sensor.
This could be done by unplugging the DB9 pin at the brain box, and checking for continuity as someone else pulls the prop through. I had continuity, but it seemed kinda flakey - once in awhile I would not have continutity.
I finally pulled the prop and removed the ring gear sensor and found one of the soldered wires had rubbed through the strain relief and had a break at the solder joint to the board. With no vibration, the wire was in contact with the board, but with any vibration or movement, the wire would rattle and the contact was hit-or-miss.
Klaus took the magnetic sensor board in on a next-day rush job, and got it mailed back to me in time for an on-time departure for Oshkosh just a few days later.
Long story - just another suggestion for troubleshooting.