You seem not to understand the LUCA hypothesis.
It does not claim to be a model of how the very first organisms 3.8bya evolved to the LUCA 2bya.
Instead, it claims that biological life as we know it today can be traced back to a LUCA population, and the characteristics of that population can be gleaned from an understanding of the inferred genetic composition of that population.
Instead of making conclusory statements about LUCA, why don’t you try a different tack: Why not read the recommended article and its citations, then bring some questions about that reading to the forum for biologists to answer?
In my opinion, that strategy would be far more productive and far more educational. It would bring light instead of heat.
Best,
Chris