You are not correct that LUCA must have appeared after the first life.... It WAS the first life...a full biological organism by definition and by consensus. Aquifex a microaerophile in an anoxic world.
In order to accept LUCA as the first life form, you must reject the RNA world. You say that LUCA is accepted by consensus agreement, but this after you ran the notion through the ringer. Who was it? Oh yes, "blind faith the one unpardonable sin". Thomas Huxley.
There is increasing acceptance of the RNA world in consensus estimates, so something must be wrong in one of these consensus notions. I would bet the ranch on the RNA world for various reasons :
Pure logic suggests that the formation of such an incredibly complex mechanism as central dogma in "one go" is beyond extremely unlikely. It requires the simultaneous encapsulation of three remarkably complex polymers, DNA, RNA, and protein, all linked up by a three-letter nucleotide code for sequential amino acids forming the 3-D structure of proteins with precise functions. As you must know, modern life is incredibly complex chemistry.
And all the membranes, and membrane proteins, and those of intermediary metabolism, with all their co-factors neatly in place, all pre-coded abiotically and then neatly tucked into one cell, all at the same time to give rise to LUCA. And it all runs on ATP, presumably via some form of electron transport (itself highly complex), again all combining in "one go". I am just getting started on all that is required to get LUCA going, all in "one go". And then there is the stereochemistry involved. A whole new wrinkle as there are so many varieties for life to choose from. Do we go with D or L amino acids? D or L for that co-factor. etc. And LUCA can tell you how? Doubtful is an extreme understatement.
Certainly more complex schemes have been considered, but this one is so far over the top one might be required to bring in the "magic wand" to accomplish it.
Totally inconceivable. The original life form almost certainly had a much less complex organization, one which could arise by many fewer mechanisms than those required to form LUCA from scratch. Of course the RNA world defies any notions of LUCA being the original life form, and it almost certainly was not.
The vast complexity to make LUCA requires hundreds of preformed enzymes and mechanisms, to say nothing of structural elements, with all of them encoded in DNA, all in one-go? It defies all logic and deductive reasoning. You brought up blind faith, it would seem too many that to buy into such a hypothesis requires that, and a whole lot more.
If you read through the Wiki article on LUCA, it mentions nothing about it being the first life form, only that it is the last universal life form common to modern life. Indeed, it tends to support my conclusion that it is not the first life form with this quote:
"Its genetic code was likely based on DNA, so that it lived after the RNA world."
They seem to believe in an RNA world where life first arose. You must reject that world if you believe LUCA to be the first living organism. Tough choice for you? It is a slam dunk for me.
Here is a quote from the opening paragraph from wiki on an RNA World :
"The RNA world is a hypothetical stage in the evolutionary history of life on Earth, in which self-replicating RNA molecules proliferated before the evolution of DNA and proteins. The term also refers to the hypothesis that posits the existence of this stage."
Recall the existence of RNA-based enzymes in modern life. They and transfer RNAs are remnants of that world.
You might want to give this a read:
https://en.wikipedia.org/wiki/RNA_world
A slower, less complex origin for life is much more likely. Evolving central dogma from an RNA-based life form is almost infinitely easier to believe than LUCA from scratch.