A couple of points in response to Scotty's post and the posts that followed:
Regarding Mike's point about them making a conscious effort not to duplicate, I don't think it is necessary or helpful to speculate about whether this was just a Mike thing. I'm going to assume that, for the most part, the band was on the same page about this, and probably still remains so to this day. There may also be varying degrees to which they are on board with it. But that is also largely irrelevant. Even if we assume they were and still are largely on board with that philosophy, there were, in theory, very specific and legitimate reasons for making the conscious decision to depart from that somewhat for that one album. Someone made the Star Wars: The Force Awakens analogy above. I somewhat agree with that. Given the major change in the band, it is logical that a lot of fans would be wondering whether the band would still sound and feel like the band they knew and loved after losing such a major creative force as Mike Portnoy. That's a legitimate concern. As I posted above, I think they consciously wanted to address that by having some intentional nods and callbacks to their past as a way to ensure that the fans felt continuity. And in doing that, I'm not even sure the band would consider that to really be deviating from the mindset that Mike references in the quotation that Scotty provided. And I don't think it should be considered pandering to the fan base either. I think it's just a good PR move and good way to show that they are in touch with the likely concerns of the fan base at that time. And, yes, I am assuming a lot in forming that opinion. But that opinion isn't formed in a vaccuum. It is informed by how I have observed the band interact with the fan base through the years and things they have said to me (or to others in interviews) about how they conduct themselves in general. So I don't think I am too far off, even if some of the specifics may be wrong.
I also have a word about "song structures." I bristled at the idea of them mimicking song structures back when Thiago first published his theories, and I still do. I don't think they mimicked song structures at all. Maybe on a single song. But not more than that. Yes, Thiago posted details with time stamps and tried to make a strong case for similarities. But, IMO, I think his characterizations were too general and that, by his methodology, you could really make the case for a lot of similar song structures that, in reality, really AREN'T that similar. Again, I'm speculating, but I don't believe there was any intent to mimic song structures. What I think they did was to create some intentional (and perhaps some additional unintentional) nods and references to those I&W songs. Some of that may have included some similar structural elements of songs ("Hey, let's do a song with a big, soaring intro with major open chords like the intro to UAGM that goes into a mid-tempo chugging riff in the verse"). But that is different than actually mimicking the entire song structure. Not that there would be anything wrong with that if they did. But I just don't think they did. I think what they did was more subtle than that. And, personally, I think the distinction is important. But this is just my opinion based on what I hear. It is open to debate, and I am certainly willing to concede that others can come to a different conclusion. But this is an area where I think some good discussion can be had. Thiago posted some specific reasons why he thought the way he did. Unfortunately, when I or others attempted to debate and argue against the characterizations he made of certain sections, he wasn't really willing to debate it, and his posts came across as, "No, you're just wrong and I'm right. And you are stupid if you think otherwise."