On the hardware side you have people that want something they will deem as "classic enough". Basically it at least needs to be 68k, possibly with PPC card, and various extents of modern expansions (some of which may not leave much of the original machine in actual use...)
You also have a number of people who care about the architecture for various reasons, but don't care about the actual hardware. There you'll find a number of FPGA projects. There is some overlap here, though.
Then you have the PPC crowd which is split between MorphOS and OS4. OS4 users has been A-Eons primary market given that they are selling actual new PPC hardware (with a second design underway), though they've lately started adding more products for classics, and have been courting MorphOS people too. MorphOS runs on various second-hand PPC hardware.
Then as you say there's the people who are fine with emulation.
Then you have AROS, which is largely hardware agnostic (ports to ARM, PPC, 68k, x86).
Within this there really are a lot of different motivations. E.g. you find classic users who just want to play games, but there are also hardcore classic users who try to use classic Amigas as their main computers.
I haven't followed Amiga developments for a while, last I remembered it appeared the Natami project was parked due to some differences in direction, with the project to create a new 68k FPGA CPU splitting off into a separate project.
I noted that the Minimig AGA core reached v1.0 this year, which is good news, is compatibility fairly good now?
I've not kept up with the Minimig cores. I'm more interested in AROS (though I check in on the FPGA projects now and again because I find them fun to read about), but have had very little time for that too lately.
AROS is a bit odd, as they are trying to build a full-blown OS although most of the people are probably running it in the hosted version on Linux.
IMO using one of the free unixoid OS as foundation with AROS on top would make more sense. I'm sad that Amithlon didn't work out.
Using classic Amiga as main computers is a hardcore task. I can see that it is not impossible to achieve with PPC Amigas and MorphOS or OS4. But for an 68k Amiga, I don't think it's possible without severe limitations.
So I'm not really part of the active Amiga community but I'm following loosely by reading http://amiga-news.de/ and listening to BoingsWorld, a German Amiga podcast (http://boingsworld.de/).
I think there are about 3 different groups of Amiga fans.
1. the hardware group 2. the emulation group 3. the demo group
IMHO the hardware group is the one group who wants to run something Amiga-like on their vintage (68k) or slightly vintage (PPC) hardware. Those people get a kick out of having a useful and fast system without all the cumbersome and inefficiencies of modern systems.
The emulation group just wants to use the old software or play the old games. Those usually don't care about the non-68k systems as it is much easier nowadays to emulate the old systems with one of the UAE forks.
The demo group uses whatever system they have to produce stunning demos. Getting new cool effects out of 30 year old systems is really amazing and shows what an incredible machine the Amiga still is.
I think A-EON mostly serves the hardware guys.