I think the starting stack size (in terms of big blinds) and the speed of the blind levels is the most important consideration, and these two factors can vary quite widely when discussing super micros and freerolls.
Let's start with freerolls, which generally start you off with a small stack (I typically see 30 BB or 50 BB starting stack in freerolls), have many players, have bad payout structures, and are typically fast-paced in terms of blind levels (less than 8 minute blind levels). In a tournament like this, you are not deep enough to play speculative hands, even by attempting to limp in to see a flop (maybe one exception would be in a very late position, in which case you should probably raise anyways if you want to play your hand). Furthermore, you simply can't afford to wait for an absolute monster because you might find yourself down to 20 BB, or even 10 BB or less, in which case your double up effectively puts you at your starting stack or worse in BB. Therefore, you probably want to play the top 25% or so of your range in any position, shoving with the top 10% if you'd like, although shoving isn't necessary. With a premium hand that runs out well, you should be able to get more value from other players without shoving. The final consideration is the fact that, unless you make it to the final table, you're literally playing for pennies trying to place in a freeroll. I started with $0 on ACR, so I understand that every penny does count to get you into those super-micros. But if you're not looking for an approximately $0.50 score and are shooting for some
real money at the final table, there's no sense playing extraordinarily tight in a freeroll. I placed 1st in a freeroll once for over $10, which I imagine is more than the sum of all the other freerolls I got into the money but did not make the final table.
On the other hand, while some super micro tournaments might reflect some of the characteristics mentioned above, there are many that provide you with a more than adequate starting stack (usually around 200 BB) and have better payout structures than the freerolls such that getting into the money can return some decent value as opposed to pretty much needing to make the final table. In tournaments like these, a "tight is right" strategy may be appropriate, but I think most people misinterpret the "tight is right" phrase. When you're this deep-stacked, you should be playing all the speculative hands in your range unless an earlier player has already opened. Furthermore, you can also get a lot more value out of bluffs and semi-bluffs in this position by betting "big" (in quotes because it looks like a lot in terms of BB if you raise a 3 BB open to 15 or 30 BB, although the actual chip value is not that significant at this stack depth) because inexperienced players are intimidated by the look of that type of bet (I used to be, as well, and changing this simple aspect of my game has tremendously improved my early game, deep-stacked performance).
All in all, freerolls are honestly a joke most of the time because of the structure combined with the quality of play. Since all the money is up top, it makes sense to play quite aggressively early with premium hands, but you should avoid speculative hands unless you've got a nice stack. For the super-micros, play aggressively early as well, including speculative hands, with your most important considerations being your position, previous action from other players, and your bet sizes.