From 2000-2004, Alfredsson posted 5 straight seasons of similar production.
He was 1 of only 9 players to be a PPG or better (cut off 250 points, sorted by PPG):
Forsberg, Jagr, Sakic, Palffy, Bure, Naslund, Demitra, Alfredsson, Thornton
That list seems to have some pretty big names.
PPG - Common Linemates (Martin liked to keep C-RW duos together and flip LW's)
1.04 - Prospal - McEachern/Zamuner
1.03 - Yashin - McEachern
0.91 - White - Arvedson/McEachern (lowest PPG, but highest GPG of the 5 seasons)
1.00 - White - Avedson/...mix
1.04 - White - Schaefer/ Smolinski
Those weren't great linemates. One season with Yashin is the best linemate by far and Alfredsson posted a season that looks like all of the others during it.
Also, do you remember Naslund from his peak years during the West Coast Express? It occurred during these seasons, which is why he made the list above.
2000-2004
Naslund = 1.06 PPG
Alfredsson = 1.00 PPG
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Here's 2006-2009, because it was on your mind (note that scoring was higher post-lockout):
1.34 - Spezza - Heatley
1.13 - Fisher - Schaefer
1.27 - Spezza - Heatley
0.94 - Spezza - Heatley (low because having Craig Hartsburg as coach was worse than having Spezza & Heatley as linemates)
For the 5 seasons from 2000-2004, you saw that he was tied for 8th in PPG (250+ points). In the 5 seasons from 2006-2010 mostly playing with great linemates, Alfredsson finished 6th in PPG.
Crosby, Ovechkin, Thornton, Malkin, Jagr, Alfredsson, Spezza, Gaborik, Heatley, Kovalchuk