Agreed…except for your penultimate word. See “The Age of the Earth” Is Shorthand.
My view on “the age of the earth” as described in the OP does not hinge on the view I take of Gen 1:1-2 to which you are referring.
I agree that there are issues to be worked out between Gen 1 and 2, but I can’t imagine they would work out to the first man and woman created by God in Gen 1 being different from the first man and woman described in Gen 2. As long as it’s the same couple being created on day 6, the timer on the human race was started with them…and that brings the genealogies into the equation.
I don’t see any reason to start counting Adam’s 930 years at some point other than the point from which it’s counted for all his progeny - that is, from the point of appearance on earth.
I take my view not from how I interpret Gen 1-2 but rather from the collective witness of Gen 1-2, Ex 20:8-11, and Ex 31:12-17. Per 2 Cor 13:1, whenever I see two or three scriptures lining up to say the same thing, I don’t feel a liberty to ignore.
Please help me understand your second point here. I really want to understand, but do remember I am a layman. Assume - only for discussion’s sake - that the universe was supernaturally created in six days, that adding the genealogies give us an age of the earth in thousands of years. Other than remembering that projections of earth’s history beyond thousands of years produces unreliable results, how would anything a doctor or scientist does need to change? If - and I acknowledge that you think it’s an insurmountable “if,” so this is just, as I say, for discussion’s sake - the Bible truly is circumscribing an age of the earth (i.e. the earth is young), why can’t scientists look at findings beyond those limits in the same way a driver is warned against assuming the proximity of vehicles from the image of them he sees in the exterior passenger-side convex mirror?