2005/2006 Remasters Vs Deluxe Editions

Quo, Hello, Rockin' All Over The World and Piledriver sound indisputably better to me on the Deluxes. They have more dynamics, but it seems Andy Pearce was careful with them. He adjusted them each in its own way. Besides, Tim Turan's remasters of those albums were pretty exaggerated in EQ. RAOTW wasn't as bad as the others, in my opinion. But the Deluxe also offers a nice second CD.

I'm not a fan of Andy Pearce's remasters, because he thins them too much for me.
He reduces the low frequencies from the side channel (basically, all bass that is stereo is reduced) and he increases the mediums overall (I think his intention is to bring forth the guitars, but just gets annoying after a while). They feel a bit thin and muddy, sometimes.
I'm not sure, but I suspect he might use multi band compression to bring the frequencies up and to control them.

As for the other albums, it really depends on what you like. In general, Tim Turan's have a bass and treble boost and Andy Pearce's have mids boost and bass reduction on the side channel.
When it comes to compression and dynamics, Andy Pearce's seem to have a bit more transients (1 or 2 dB) but they sound more compressed.
How it feels to me is that Tim Turan's have less punch and definition (less transients), but Andy Pearce's have less macro dynamics (the sound volume changes often to accommodate the transients in order to keep more punch). I don't like the latter because what I hear is some instruments going down on volume when a voice comes or when a louder instrument kicks in. And I really don't like that sensation of things changing to make room for others. Or when there is a pause and the guitars are there hanging and you can hear them increasing in volume even though they should be fading out (you can really feel this on some parts of The Power Of Rock).

It really depends. Tim Turan's ITAN and Ain't Complaining have too much bass. Andy Pearce's ITAN (some songs) and Back To Back have such a mids boost that was annoying me too much to listen to them. Not to mention the movement of the song, due to compression. I actually go with a couple of Tim Turan's songs over Andy Pearce's, for my digital collection.
Tim Turan's Perfect Remedy has the compression too noticeable as well. It really depends.

Considering everything (not just the sound), I'd go with the Deluxes (which was what I was doing). I care a lot about the sound, but not everyone does and the Deluxes have good and interesting liner notes and a good collection of songs (more than the remasters, aside The Wanderer Sharon The Nag Mix) that makes them much more worth to have than the remasters.

Both Andy Pearce's and Tim Turan's versions are on Spotify for me. So if you really have the patience and they are on Spotify for you, you could compare a couple of songs from there.

As for me, to listen to music, I use 15€ headphones and a hi-fi system from around 2002 that cost less than 60€. I don't think any of these are a fortune so I'd advise you to get something like that; they are better than mobile phone speakers or laptop speakers for anyone to listen to the music they enjoy.