No, it doesn't.
Clement, 27 ES points his first full season, 14 in 39g his second season, 32 his third season
Watson made 4 all star teams
Zezel was a top 6 talent, 36, 37, 53 ES points his first three seasons
Tochett, 37, 30 45 ES points his first three seasons
Sutter, 36, 39, 56 ES points his first three seasons
Derrick Smith, 37, 12, 31 ES points his first three seasons, more of a "flash in the pan"
Murray Craven, 49, 47, 30, 48 ES points his first four Flyer seasons
Couts, Giroux, JVR just show continuity, top young players play earlier than marginal players, it's one reason they get drafted higher, they're more NHL ready.
One reason some players are older when they enter the NHL is b/c they go to college, and like college enough that they stay for their junior or even senior seasons - Hayes, Allison, Laczynski, now York, Attard, St Ivany, Brink, JOB, N Cates.