I had the E2 8x30 and the SE 8x32 simultaneously. I first got the E2 and really liked it, and got curious so when I got the chance to get a SE I jumped into it. This might sound a bit odd, but while both have a lot in common, I think they are also quite different. First, there's the tactile/grip/hold area. I really like the SE, I think I prefer it over the E2. Your hands just want to cup the tapered "shoulders" of the SE and remain there; in my case it's such a perfect exercise of ergonomics. However (also in my case) the ease of view goes clearly to the E2; I don't wear glasses, so I use the eyecups all the way up. I never got on 100 % with the SE 8x32, while the E2 feel like coming back home after a long work day and putting on your old a worn sleepers. Like using a well used and broken in leather shoes, is that kind of feeling.
Regarding the view, I think the SE is superior (as the name seems to imply). I find a bit more contrast and sharpness. As a matter of fact, I gave the SE to my brother, so I have the chance to re-evalute it a couple of times a year when we go birding together, and then I continue to be amazed about the view of the SE. In fact, I've compared the SE endless times with my Swarovski EL 8x32 and somehow I prefer the view through the SE, but the EL is simply on a league on its own when it comes to ease of use and viewing comfort (to me, it behaves almost like a 8x42).
To my eyes, the E2 is probably a bit more immersive, due to both the wider FOV and the easier eye placement.
However, as "pure view" goes, the SE offers a more contrasty and sharp image that is simply mind-blowing.
Both are great binoculars, and I'm happy to have kept the E2, although I prefer the view of the SE.
As an aside: I've never been a "10x person" (I find I need to step up to 12x to really enjoy a difference that it's worth it compared to 8x), but the only 10x that has made me use it with great joy for a continuous amount of time is the Nikon SE 10x42. I found the 10x42 had a superior ease of view compared to the 8x32 SE, don't ask me why, while the rest of the performance was still there from the smaller brother.
So, after reading your message, I'd also recommend you getting the E2, you will probably enjoy it as well, maybe not for the ultimate bit of "spark" in the image, but for the comfort, the immersive view and the charm that makes the E2 irresistible for many, myself included. As a wildcard, maybe you could try the Swarovski Habicht 8x30. I would not recommend it for birdwatching, due to the really hard focus wheel, but as a "general purpose"/landscape/nature binocular the view is unmatched, simply addictive.