I thought it would be interesting to look at who the Celtics have acquired at picks #2-6 over the past 56 years.
1970 pick #4: Dave Cowens Result: Celtic legend, hall of fame player, two time champion
1978 pick #6: Larry Bird Result: NBA legend, hall of fame player. 3 time champion
1980 pick #3: Kevin McHale Result: Celtic legend, hall of fame player, 3 time champion
1986 pick #2: Len Bias Result: died of drug overdose before playing an NBA game
1996 pick #6: Antoine Walker Result: Multiple time all-star, 1 time NBA champion, master of the walker wiggle
1997 pick #3: Chauncey Billups Result: NBA Finals MVP, 1 time NBA champion, multiple time all-star
1997: pick #6: Ron Mercer Result: BUST
2014: pick #6: Marcus Smart Result: TBD
2016: pick #3: TBD
So, looking back, we have gotten 3 HOF players/multiple time NBA champions, 2 multiple time all-stars and 1 time NBA champions, 1 player that died, and 1 true bust out of 7 picks in this range. I'd say the odds are [dang] good that we land a star, possibly a future celtic legend if we use the pick going by this summary.
At pick 3, we have twice landed a multiple time all-star caliber player with potential to be NBA Finals MVP and a core member of a championship team.