Reloading
Another interest of the GOTM staff is the lack of entries. By having a Freestyle category, lots of players might submit. At present, not allowing rerolls dissuades a lot of players
I do not have statistics or figures on how many players would actually play if they could reload, but what I can do is ask you to explain under what circumstances you might feel the need to reload.
If people can explain the conditions under which they would reload, then perhaps we'll find other ways to accomodate these reasons.
I honestly find it highly unlikely that submissions with reloading will ever be accepted for display in a Results table, as doing so encourages behaviour that the staff wish to discourage.
Learning from your Mistakes instead of Hiding them
from submitting because after your blunder, you know you cant win and most people dont play for a humiliating loss.
I think that most long-time XOTM players here will agree with me that if you don't accept your mistakes, don't admit them, and don't own up to them, you won't be learning how not to make those mistakes again in the future anywhere close to as quickly or as effectively as if you allow yourself to make those mistakes and submit anyway.
Some of the best stories of inspiring comments and feedback that players have received on their games come from them facing a challenging situation, owning up to it, and then getting help and suggestions for avoiding that situation in the future.
For example, if you often find yourself getting beaten to a World Wonder, I would suggest that reloading until you get to build it will not improve your playstyle.
On the other hand, if you share your experience of missing the World Wonder in the thread, and
ask for help on how to improve (so that people know that you want their help), I think that you will receive a multitude of suggestions that will greatly improve your gameplay.
Perhaps you could tweak your tech path. Perhaps your choice of Worker actions made it harder to achieve the Wonder. Perhaps you're just trying to build a Wonder at too-high a difficulty level and thus have to PLAN to be able to be beaten by the AIs in building it.
Whatever the suggestions you receive, your gameplay will be able to improve. If you just "reload away" all of your problems, then you'll encounter the same problems time after time in future games, as you won't be changing the method that got you into trouble in the first place.
Participation
Because Freestyle players will have submitted regularly, they might be more apt to graduate to playing without rerolls at all and become regular participants.
It is my belief that participation of the right form is just as important, if not more important, than sheer numbers of people participating.
Ultimately, the XOTM has been founded on the no-reload approach. You might say that it makes the games more fairly comparable, but I would say that what it really does is that it forces players to own up to their mistakes, to learn from them, and to improve their gameplay.
Regardless of the reason, accepting submissions that endorse the opposite type of play--allowing players to "reload away" their mistakes instead of accepting them and learning from them--will probably never happen, no matter how much you ask for it.
Thus, I ask for you to explain the reasons for why you might want to use reloading. Then, we can help to design a competition to deal with those reasons.
For example, you might never want to play at Deity, so you think that it's fair to reload in a Deity level game. In such a case, we might stay away from hosting a Deity level game for a long time, or we might give you an Immortal-level Adventurer option, or we might just try to stagger the various XOTM expansions' competitions in terms of difficulty levels, so that there will be an easier version in a different expansion pack available (it's not too hard to believe that we'll have at least 1 expansion pack out by the time that the first Deity-equivalent Civ 5 GOTM is hosted).
So, share your reasoning behind when you'd want to use reloading and I think that you'll get far more success in having your concerns heard than you will in attempting to fundamentally change the way that this event is set up.