Digressing, in "Preludes", the Vindicator says that the Vau N'Akat's "last remaining Construct" was planted aboard the Protostar. This suggests that the Vau N'Akat had created more Constructs. Did I miss a part in the show where this was explained, e.g., what was their original purpose, how many were there, and what happened to the others?
It was not explained, not in season 1 at least. I assumed that the others were used during the civil war and/or used up in failed attempts to infect Federation vessels (in their own time period, not in the past), but maybe season 2 will shed new light on this.
Star Wars has long been labelled a "kid's show." It was considered lesser fair at the time it was made, and Lucas still called it a franchise for kids, including when he was making Clone Wars.
The fact is, the numbers didn't support Prodigy's continuation, and it didn't move up until it was cancelled and people became fearful of not seeing it again. So, suddenly, with the illusion of scarcity, it became popular.
You have mentioned the numbers for Prodigy a few times here, but did you actually see numbers or a report that mentioned this? AFAIK, we never got solid numbers nor did P+ really elaborate on why
Prodigy was dropped, other than the usual platitudes.
While it clearly must have been considered a commercial failure, that doesn't have to mean that the numbers were bad per se. It could have been fairly well watched on P+ (IIRC there were numbers indicating that), but not by the right demographic. It could have done fairly well on P+, but not on Nickolodeon. It could be, as King Daniel claims, that it was meant as a vehicle to sell toys and viewing figures were secondary to the failure to materialise those sales. Finally, it can be that it was meant as a loss leader in order to gain an audience in the future - for the long-term sustainment of the franchise - and that it was dropped as a "nice to have but not necessary now" when the financial situation of P+ worsened.
I don't think it suddenly became popular because of the cancellation, I think the effect was limited to some active online fans that are but a very small part of the overall audience. The numbers were probably there from the start and didn't noticeably increase because some Star Trek fans suddenly wanted to check out the animation for children, that was beneath them earlier.
What may have changed is that Netflix simply has a far larger potential audience, especially among children, and that the sales of physical items like the boxsets did prove that a non-negligible number of viewers were willing to open their wallets in order to get season 2. The sales of physical discs were also a result of the reminder that digital content can be removed by the "rights holders" at any time.
As for Star Wars, it may be sometimes mentioned as being aimed at children, but it is certainly not universally described in that way. When the movies were in theathres, at least around here the audience considered largely of adults. They don't have the stigma attached to them that children animation has.