To get back to the original question for just a second.
I was in the same situation as you looking at the 3038e vs L3800. After quite a bit of research and reading on this website (which is super helpful) I bought the L3800. There are pros and cons to both, but the main reasons I bought the L3800 were:
1) I liked the Kubota dealership better
2) 3 range transmission in L3800 vs the 2 range in the 3038e (if you are going to do a lot of shredder work, the low in the 2 range is too slow and the high is too fast)
3) the 3038e gets its last 6 hp by turbo-charging the engine (it seemed like one more thing to break)
4) I drove both and liked the one pedal HST control of the L3800 beter than the two pedal 3038e set-up.
I actually think that the JD 3520 is a more apples to apples comp to the L3800 than the 3038e.
My recommend would be to go the the dealership make sure you like them, drive both, and then buy the one you like the best.