I have a lope / shudder under very light throttle as well for almost a year now.
When my truck is cold, there is no lope at all - sounds totally normal. As the truck warms up, it gradually gets worse and worse. On a hot day when working the truck or doing a couple of WOT runs, it gets very noticeable & annoying. It must be off of idle and probably less than 1/8" throttle to get the lope / shudder. Idle (zero throttle) sounds totally normal.
There are no codes. The tac is solid as a rock when its loping.
To date, I have:
1. Replaced VP44
2. Multiple sets of injectors, including trying a known good set of stock injectors (Don's M4's have been the smoothes so far!)
3. ECM
4. Adjusted valves
5. Installed a FASS 150
6. MAP sensor
7. IAT sensor
8. APPS sensor (calibrated it on install, added a redundant ground as well)
9. Cleaned all my grounds
10. Removed alternator from charging circuit (suspected noise)
11. Removed TST box
12. ??? maybe more, but this is all I can remember
So far, I can't say I've fixed a thing!