There is data on this in some of the ASM metals handbooks.
Years ago, I worked with a design group that would spec materials such
as AL 2024-t3/4 which meant to them that they didn't care if it was
either T3 (rapid cooled) or T4 ( quenched and thermally aged).
They were interested in being able to do things with stock on hand,
cheaply, and this was their solution.
Later, they were able to crow that after a long period of time, parts
made from the T3 alloy would get stronger as they got older.
They even generated data to prove it.
So, you seem to be in the same boat, so to speak. Natually aged T3
(years) can be stronger and harder and more brittle than the analogous
T4 alloy.
A typing error snuck in, it is 6061 T3, not 6062 T3