I'm afraid, the essence is that is not. Re-sequencing content is not the same as synthesis and therefore not the same as a person processing information and communicating their own conception of this. There's a vital difference.
(We can even observe this in the resulting text: we immediately grasp the level of competence of the author, just by the way they take their path trough and at the matter. With LLMs, well, there's this even temperature, ready-made feeling, regulated by probability thresholds and RLHF sanctioned phrasing, also known as "slop" – even rhythmic intensifications, like "not this, not that, but…", which is actually a figure for a synthetic construct, don't help –, since the text isn't the trace or product of an actual organized thought – or, at least, an attempt at an organized thought.)
PS: "empirical a priori judgement" was meant as translation of synthetisches Urteil a priori (Kant). I.e., our ability to mentally prove concepts like congruency, which are not a priori, but can be inferred without regression to empirical knowledge. Typically, this requires both our inner sense (time, sequence, etc.) and outer senses (space, configuration, etc.)
> I'm afraid, the essence is that is not. Re-sequencing content is not the same as synthesis
Drawing different sources of information together into a single understanding is quite literally the definition of "synthesis" in this context. If that process is what you're referring to as "re-sequencing content", then it does fit the definition of "synthesis" in this discussion.
If you're using the phrase "re-sequencing content" as a way of indirectly suggesting that LLMs aren't relating together multiple sources of information and combining them into a single expression, then that itself is the point of contention that we are arguing about.
Perhaps you're trying to apply a philosophical concept of synthesis, e.g. that of Fichte or Hegel, but that definition applies to a specific type of philosophical analysis, and isn't quite the concept we're using in this discussion.