The 25% number is not 25% of food produced, but 25% of the waste in the supply chain being on the consumer side. Nowhere that I can see in the 2013 study cited does the FAO make the claim that "fresh produce is thrown away due to visual imperfection", that number also encompasses e.g. people overbuying produce that goes bad etc.
By the criteria of the article you're citing if the production & distribution part of the supply chain got more efficient that scary 25% number would rise. Indeed if you read the study this is what's happened in industrialized countries, we have a higher food waste percentage on the consumer side because we have more relative savings in the rest of the supply chain.
Programmes like 'the odd bunch' where produce that looks funny is sold cheaper has gone some way to addressing the issue for certain grocery chains.
I don't believe there are any public studies on individual store wastage over this issue.
https://www.ausfoodnews.com.au/2014/12/10/woolworths-launche...
Original source is somewhere in there - sorry for the laziness.
Even without the citation I believe this and take it at face value. I'm not sure what would make you not believe it? Have you never passed over something based purely on looks or noticed someone else do the same? My kids instinctively do this when they eat fruit; even my 2 year old does it and they've never been told to!