I have had both. I had the E80H for almost a month and it started adding digital artifacts pretty badly or it was there the whole time and I never caught it. I returned due to that fact.
I now have the Pioneer DVR-510 and like it quite a bit better but it was $125 more. However it has well over $125 worth of options: Thumbnails, DVD-RW burning, customizable PQ adjustment for inputs, DV input, auto start feature, 4x Dubbing opposed to E80H's 1X high speed dub, slicker looking unit, nicer remote, supports more media formats as WM audio file and picture files, has 192/24 bit audio DACs opposed to E80H's 96/24 bit DACs, Records DVD-RWs in compatible Video mode or in VR video editing mode, has adjustable auto chapter time intervals, displays chapter marking icon on screen so that you don't have to look at LCD display to see if it took your chapter mark, and allows MPEG 5.1 audio digital output if you have a processor that handles it.
Editing capabilities are very similar although Pioneer is easier to use in this regard. Once I play more, I'll report back.
Have a good one.