That still leaves you nothing but an interpretation based on several untested and unconfirmed assumptions. There is no age of the earth mentioned anywhere in the Bible.
More importantly, genealogy only leaves you with the age of human history. Not Earth history. Genesis 1 includes more than just human history. The days in Genesis 1 do not necessarily correspond to 24 hour periods. The passage of time for God could be different in the same way the passage of time for a photon is radically different from the passage of time for a human.
God did not write the Bible. Even Jews admit that Moses supposedly wrote the Pentatuch. God did not write Psalms. God did not write anything in the New Testament.
No it doesn't matter scientifically. If you really believed that you would be insisting that we throw out Aristotle, Plato, Descartes because their science and natural philosophy is radically different from modern physics.
It doesn't matter theologically either. I've never been to any mainstream church where believing a 6000 year old Earth was part of the creed.
Genesis 1 and 2 are widely recognized as Hebrew poetry. Poetic writing is not scientific writing.
Do you scientifically analyze poetry? Do you read Samuel Taylor Coleridge or Ralph Waldo Emerson looking for scientific mistakes?
That's right, you don't.