First, you can't trust the WDW site. I logged in tonight to connect with a friend for an upcoming trip and it first wouldn't let me do it and then finally showed my resort ressie, but none of the meal ressies.
But, yes, you can always find somewhere to eat. That is not the point. I am quite sure I could book Captain Jack's or Turf Club for NYE ... maybe even a Hollywood and Vine ... or a Marrakesh ... quite likely a Wave unless people think that will give them free reign to park at the Contemporary and not show up and walk to the MK.
There are always options, but that doesn't mean they'll fit in terms of time/place/cuisine/price.
Last week, I made an ADR one night and two nights prior to dining and got exactly what I wanted. But it was lunch (always easier) and it was resort and DD locales (also always easier).
Well, I agree on the new website. It seems to have lots of flaws still. But are you sure that your friend connected you with the dining reservations. It seems that one has to pick for every meal who is going to eat there besides the "lead reservation". He might not have done that.
My point was only that even with the current system of DDP and ADRs bookable at 180 days you can still be spontaneous about your day at WDW. Yes, you might have to make some compromise with regard as to where, when and what you eat. But if you want to have no plans, you can still do that.