Only my opinion, but you should be able to un-weight your hands while you are in the drops, and hold yourself up just with your abs, at least for a few seconds. Even better if you can do that from the hoods/tops, but I think that's more possible if your core strength is in the "pretty good" range.

A saddle position that's too far forward puts more weight on the hands. Handelbars that are too far out/down because of stem length/spacers will, too, but are secondary to saddle position, IMO.