I don't know the whole story here but yes 2 in hand is equivalent to 13. This will have lower resistance than 14 and should be a good move.
If you can keep the same turns you will have the same cut in speed and there can be nothing to loose.
Depending on the matching it may bring you nearer stall and if you have a low line resistance you may have to add a bit of resistance but I can't comment on any of this without whole lots of details.
Similarly I can't comment on the cut in speed without much more detail.
Even if you can't quite get as many turns it may still be beneficial so there should be nothing to loose.
If you can replace 14 with 2 in hand 16 with the same turns it must be good and you weren't using all the space with the 14. ( the space factor of two in hand 16 is probably better than single 13 and that could be to your advantage).
In general it pays to use the thickest wire possible even if it need some external resistance. It is better to get the heat outside the stator.
Ultimately this is all tied up with prop size cut in wind speed and many other factors so the improvement may not be spectacular ( especially if your choice of cut in speed is wrong) but it will give a safer machine for the same out.
Confused now, I bet you are!
Flux