In reply to daveyw: Your last sentence sums it up. Next time you go to the wall just watch people who operate at about 5/6a (Without wanting ti cause offence, this is where I've noticed it mostly). You will notice a lot of these climbers will fall apart as soon as they climb above the quickdraw, their technique becomes non-existent and they will grab the quickdraw/downclimb rather than trying to move. Then once you've witnessed this, have a look at the young competition climbers and how they're willing to fall with their feet by the bolt because they're concentration is on the climbing, not clipping as soon as possible.
It's important to realise the first group of people I mentioned above will, most of the time, never have taken lead falls and probably never thought about practising them, we stick the the things we are comfortable doing and this is why people will stay on the F5 they know they can do, rather than try the F6b they may fall off. The only way to climb as confidently as the young competition climber is to get used to taking falls, like they will have done.
It's easier said than done, i'm not going to lie, but it can be pretty scary at first! The only way to improve your confidence is to get to the wall and fall! Don't just take two drops and say you've done your fall training, it won't work! It requires commitment.
What do you mean by a live climbing situation? I know it seems stupid, but the most efficient way to get better at these situations is to put yourself into these situations! Again, scary, but you're not going to die and if you want to improve, it's a necessary evil!