I agree with the general theory here, but this is a pretty random example to introduce. Barrington and Ponting retired at almost exactly the same age. Barrington took longer than most greats to get good, but then he played on late, and definitely past the age Ponting declined.
In terms of the perception of Sanga,
@Bolo. made the point in another thread that he'd be rated higher in general consensus if his peak had come earlier in his career. There's definitely an effect where, if someone dominates for a bit and establishes themselves as a 'great', they are viewed as a great from then on, however long they play. Whereas if someone starts slower they get pigeon holed as a lower tier of player and it's hard for them to shake that even if they get great later.
In 'hypothetical player' speak, if Player X averages 60 for 7 years then 40 for 7 years they will likely be heralded as a great for their entire career. Meanwhile at the same time Player Y averages 40 for 7 years and then 60 for 7 years and they will be seen as 'competent', then 'reliable', then a 'veteran' but they will be viewed as being a level below Player X (initially correctly, but ultimately not) in a way that does take some late- or even post-career re-evaluation to correct.
Or, to work in my own random Barrington analogy, none of Barrington's peers nor the pundits of his time rated him as highly as Peter May. Because May got great early and was hailed as a prodigy whereas Barrington was a late bloomer who wasn't seen on his level. But looking back now, most would say that Barrington achieved more than May over their careers.