The theory of Evolution DID cover the origins of life when I was taught it over 30 years ago.
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Returning to your example, science can indeed not prove that life originated by 'accident', what it can demonstrate however, is that life could have arisen naturally under the right conditions.
Then a theology-philosophy class could cover both theories on the origins of life, and the students can make up their own minds as to what to believe.
I doubt it. Just because the origin of life was taught in conjunction with evolution in biology class doesn't mean that the former is a part of the latter. On the other hand I don't know exactly what was taught in your school 30 years ago but even if what you claim is true, that doesn't mean that you were taught correctly and maybe your biology books were a bit sloppy in their presentation of this topic. Alas, this is still true today in some cases.
Then a theology-philosophy class could cover both theories on the origins of life, and the students can make up their own minds as to what to believe.
As I said before, theology or philosophy classes can cover whatever they want. If the research of abiogenesis makes progress and we have more conclusive data about how life might have arisen naturally then this is going to be taught in science class and theology or philosophy classes aren't going to change that and any criticism thereof has to come from the scientific corner and not the theological or philosophical field.