I said SOME explicitly state that Oxygen has to be involved in the reaction, but OTHERS do not.
No, that is not what you said. In post 133 you said:
"... look up the meaning of "Combustion" in a dictionary - not a chemical dictionary, but an 'english' dictionary,
"in many cases it specifies that combustion reactions involve Oxygen. ..."
I did look combustion up in my dictionary and found no indication that oxygen was required for combustion. I asked what your dictionary said. I asked if it stated that combustion required oxygen? You have not answered.
Even if your "in many cases" were true, so long a significant fraction of dictionary define combustion as mine does: (2b)Chemical combination accompanied by heat or (1)Act or process of burning. Then my statement, which you were critical of, is perfectly OK. Namely one can say "HCl is Chlorine combustion ash of Hydrogen." etc. for fluorine and oxygen combustion to produce HF and H2O respectively.
Again if you want to specify, in lay usages, that the combustion is by oxygen then you say things like "Carbon burns with oxygen to produce CO2." or "Carbon combusted by oxygen yields CO2." and one can say: "Carbon combusted by Fluorine yields CF." (I think, not sure of my chemistry here)
Summary: Oxidation, in lay usage, is one form of combustion where the oxidizing (technical sense = removing electrons from the fuel) agent is Oxygen.
The oxidizing agent can also be Fluorine or Chlorine and combustion still is happening as "combustion" (as I said earlier) is just a fancy word for "burning." I assure you the Carbon, Hydrogen, wood, etc. can be burned if in a Fluorine or Chlorine atmosphere. Oxygen is not required for combustion. It just happens to be the most common oxidizing agent (technical sense) as Earth has Oxygen in its atmosphere.