There will be a number of factors in a comparison like this that will peak personal preferences. Firstly, the Naim is a lifestyle product. its design is first and foremost to look good and offer all types of streaming. The Lyngdorf’s strong point is it’s room correction. The Hegel is a straight up hi-fi amplifier. The latter two are up against each other with different types of amplification - Class D vs Class AB respectively. With regards to amplification types, not only will personal preference play a part here (some prefer the neutrality of D, some the usually less neutral but more forgiving AB), but also how these two types of amplifiers pair with their loudspeakers. I have loudspeakers that don’t pair too well with Class D amplifiers, and no EQ is going to change that.
Personally, I was leaning more towards Class D five years ago or so (and I still do like some of them), but since discovering Hegel, I’ve leaned back towards Class AB. The Class D examples I like now tend to be the more expensive ones, which I guess is because the manufacturers have more budget to really explore the possibilities.
On the subject of room correction, you have to work out whether this is something that I’d a good thing for you or not. Personally, I find a lot of wild claims and suggestions surrounding room correction. Room correction doesn’t know what your loudspeakers sound like, and it doesn’t know what your room sounds like, it’s working to a target curve, or a curve you preset. It can produce a more neutral listening experience for your single point listening position, but once you start widening the listening area to be corrected, it is starting to ‘average’ things out, so you’re getting a less accurate sound over a larger area.
The way I look at it is that if you went to a dinner party somewhere and a string quartet was playing in the room, you wouldn’t EQ them to sound great at every table, would you? It still sounds great, the instruments playing still sound like they should.
The choice of these three items will rely on the speakers they will be paired to, the room they will be in, and of course, your own personal preferences.