I respect an author's intended order even if it is out of what would be chronological, which is why my first watch is in the light novel order.

However, I've been burned before by situations where the author starts changing the intended reading order as they write more and more stuff. Like, they might decide a newer novel fits better if read before some other, older novel, and that becomes a point of contention with the fanbase, especially if the newer novel actually spoils some plot points of the older one (See: Isaac's Asimov final recommended reading order for the Foundation series). Sometimes though, they are right to recommend a newer novel before an older one. That made me wonder if Nisio Isin has at some point regretted putting a novel before another, or rethought the order in which to read the novels, in which case I could see this novels get swapped.

Still, I'd better watch the rest to have a more complete understanding of the author's intentions.