Free Card Play (Limit)

[bennyk]

This situation recently came up in a discussion. The hand is basically made up and may not be the best example -

hero is MP2 with A [img]/images/graemlins/diamond.gif[/img]J [img]/images/graemlins/diamond.gif[/img]
EP Limps, MP1 Limps, hero <font color="red">raises</font>, CO Calls / BB Calls, EP Calls, MP1 Calls (9.5 SB)
Flop: K [img]/images/graemlins/heart.gif[/img]6 [img]/images/graemlins/spade.gif[/img]2 [img]/images/graemlins/diamond.gif[/img]
BB Checks, EP Checks, MP1 Checks, hero <font color="red">bets</font>, CO Folds / BB Calls, EP Calls, MP1 Calls (13.5 SB)

Turn: 3 [img]/images/graemlins/diamond.gif[/img]

Normally, it's best to take a free card vs. several loose-passive opponents, but since our equity increased with that turn, I argued that it's not as important. That is, if hero had flopped the flush draw instead of turning it, then a turn blank would decrease his equity, and that makes getting a free card more valuable, but in the case of turning the flush draw, it's not as valuable.

Can anyone clarify this at all, or offer some thoughts? I thought it was an interesting situation.