Both are great. If he doesn't show up here, PM Big String, who has gigged both with a number of different heads.
I use an AE410 as my primary cab, and gigged an HS210 quite a bit, and have spent a little time with the HS410.
Both sound GREAT with the Thunderfunk. I prefer the AE410 with the TF550, due to it having quite a bit more brightness up top, so it will allow the very smooth, mellow TF to 'grind' a bit when pushed, and will help to extend the top end of that head a touch... brighten it up a bit. Both the HS and AE are a bit 'tight' in the low end, with, to my ear, the HS having a bit more 'roundness' down low and a bit more of a low mid push.
Both are tight and punchy, and with the TF, I would describe the HS410 as 'round, warm, smooth', and the AE410 is a bit more extended down low (not much), and a bit more present in the upper mids and lower treble.
The weight difference is very noticable, even though theAE410 is not the lightest Neo 410 around.
I REALLY like the TF/AE410 combination myself, over the HS410, but pure IMO.. I like it a bit bright, and like the sound of those neo 10's breaking up slightly when pushed in the upper mids... lots of 'character'.
IMO and IME!