There is no proof... I already told you disc quality test is not a measure of disc deterioration. So you can't say a disc with little errors will last longer than a disc with a lot errors... because you don't know the deterioration rate. I said only that disc low error disc with the same deterioration rate will last longer. Obvously you don't understand what it means that 2 disc have the same deterioration rate.. this means that overtime the same amout of errors will spontaneously be created because of deterioration. Also PI/PIF aren't only casued by laser during writing... they are casued by laser not being able to read back the data propely. PI and PO are additional data used for error correction on the disc.. so PI is used when data isn't read back properly and which can be detected by the EDC code.. then if the writer can correct the error using PI data.. then we call this PIE.. if not then we call this PIF. Then PO has his chance to correct the error. If he succeded then we call this POE if not then we call this a POF.. and the data can't be read back. So the drive tries again (and again and again.. until it gives up). As said errors will always increase through time because of deterioration.. now I will hopefully give you a easy to understand example:
let say 1 error is 1 PIE, 100 PIE are 1 PIF, 100 PIF are 1 POF.
We have 2 disc..
disc 1 has 10: 10 PIE, 0 PIF, 0 POF
disc 2 has 9,000: 0 PIE, 90 PIF, 0 POF
after for example 6 months 1,000 errors emerge because of disc deterioration
disc 1 has 1,010 errors: 10 PIE, 10 PIF, 0 POF
disc 2 has 10,000 errors: 0 PIE, 0 PIF, 1 POF
So after 6 months disc 1 is readable without unrecovered errors.. but disc 2 has 1 unrecovered error and can't be read back perfectly.
Now this prooves in theory that I'm right.