What experiments specifically? As far as I know, many different experiments in abiotic organic chemistry that attempt to mimic early Earth environments of different kinds, yield compounds that bacteria can use as nutrients. Since bacteria evolve, then yes. But of course that depends on the specific experiment and the environment it simulates, and therefore the products produced.
Some experiments have shown that iron can reduce CO2 to common metabolites found in the Kreb’s cycle. All life on Earth can eat that.
You seem to be asking a much deeper question than what this thread(and the paper in the 2nd post) is trying to address. Here we are discussing(and the purpose for which I am citing that paper) whether genes with new functions can evolve when there is already evolution going on. This whole thread (though not necessarily the scenario conceived as the context in that paper) is based on the premise that life already exists and is evolving.
But I get the sense you want to know how evolution itself began. How did there come to be something that was evolving, such as RNA molecules, or living cells? - and since the researchers in the paper cited in the 2nd post did not begin with experiments in abiotic geochemistry, they’re not addressing the question you want answered. The paper is obviously based on the assumption that RNA was somehow produced and was replicating, and given this premise, could selection facilitate this evolving RNA finding new functions even from a polymer of minimal sequence complexity? The answer turns out to be yes.
But nobody knows how evolution, or life, began. Nor how(or if) the scenario assumed in the 2nd paper relates to life’s origin(nor am I referencing it to argue that). Some posit evolution(not necessarily life) began with the emergence of the first biological polymers such as RNA, and that these evolved into living cells, others argue evolution could have begun even before this:
Whether you think any particular step in such a hypothetical scenario constitutes life is a matter of personal preference, there is no universally agreed upon definition of life. So nobody knows. They’re actively trying to find out. But if you want to discuss origin of life research I suggest you create a new thread because it’s off topic here.