there seems to be a presupposition that life will automatically appear under the right environmental conditions.
Again, we only say we're approaching certainty ... and we only say it appears that the only condition is liquid water on the planet surface ... scientific theory is written in pencil, so we can erase and change the parts that don't work ... this is a fundamental aspect of scientific method ... however, the Bible is different; we know pork is safe to eat, but we're not allowed to erase the prohibition against eating pork ... now can we? ...
I wonder if this presupposition is well founded
Yes ... as explained above ... it's not about the odds of this occurring in any given year, but the odds of it occurring at least once over many years ... one thing we have in huge abundance in this matter is years ... c.f. Wald, George; "The Origin of Life"; Scientific American; August 1954 ...
Is it really true that (cellular) life will automatically appear
Again, you seem to be using the word "automatic" as a talisman or crucifix to ward off evil or something ... the correct term is "approaching automatic" ... we do have one certainty, that cellular life does exist on Earth ... so there's proof positive that it can happen, and has happened ...
Creationism cannot be proved ... we can take all the ribs out of all the men and not a single rib will grow into a woman ... that was a unique event so it cannot be repeated in the lab ... that seems your only complaint about evolution ... "Judge not lest ye be judged, for that which you mete out will be measured unto you again" ... I'm sorry, you fail every test you set for evolution ... and that is how you are judged ...