Okay, lucky or just bad or both? Good question. Lightning draft picks that stayed with the org and became regulars / core players for the Cup runs and after:
2007 3rd round: Killorn (77th)
2008 1st round: Stamkos (1st)
2009 1st round: Hedman (2nd)
2011 2nd round: Kucherov (58th)
2011 7th round: Palat (208th)
2012 1st round: Vasilevskiy (19th)
2014 3rd round: Point (79th)
2015 3rd round: Cirelli (72th)
2017 6th round: Perbix (169th)
All other relevant pieces were acquired via trade or FA signing. And the other picks have been total busts and/or were shipped out in trades.