I don't have time (or much interest) in reading the new theory, but have a question: Does "star age" mean: (1) years between first thermonuclear reactions in it core and when the last of possible several sequally and different fusion (up to forming iron for big stars) OR (2) how early in the history of the universe it first had thermonuclear core? The metallicity of stars formed from the explosion debris of the first big stars will be much richer than they were in post iron elements.
It was long accepted that all the exothermic fusion reactions would occur in stages if the star was initially massive enough and most of the first to form were. When the modeling of this process was done, a problem was discovered (I forget the details) but at some relatively early step, instead of fusion, fission back to an early stages seem to dominate. Hans Beta, found the solution, and general model was saved. I.e. all the elements up to (and including) iron were formed in a series of fusions and there relative abundance was predicted by the model, and agreed with facts as well as they were known.
The post iron elements were formed in super nova's explosion's shock waves and small part by "endothermic cooking" in the final few fusion stages, but not much as they were also destroyed in those hot cores. I.e. a dynamic equilibrium between destruction and formation for each of the post iron elements was established.
It is true that one can infer the amount of elements in a star from the radiation it emits, but process is quite uncertain as (1) you need to know the transition probabilies (not possible, yet, to calculate for ions of several ionizations. For example oxygen five times ionized. It will mainly have spectrum in the x-ray range but transitions between two highly excited states may make radiation that can reach detectors in earth orbits. AND (2) The star's thermal structure as function of depth in the near surface layers (many or no "sun spots" etc. So how well can one infer the amount of He in the sun? (checking against the H to He fuion rate's production)? I don't know, but bet getting agreement to even a factor of two, is possible only with a lot of "fudging." Doing that for say Ag ion +++++++++ radiation is impossible.
BTW, what astronomers consider "metallicity" includes oxygen, carbon, etc. - Most of their metallicity is things others don't consider to be metals.