I stayed at the Hilton DTD in 2005 and didn't love it/didn't hate it. However, I'm sure a lot has changed since then. I heard they did a lot of upgrading. I remember liking that they had a bus system, but found it REALLY annoying. I remember the drivers being crabby and mean. However, like I said, I'm sure a lot has changed since 2005.
I've stayed offsite many times {at the Marriott} and have had WONDERFUL experiences. It was very luxurious and fantastic to have that "being 2 miles from Disney yet not have the kids everywhere" experience as well. My biggest issue when staying offsite is that dining isn't included. I find the added dining really convenient, as well as the free airport transportation Disney offers. I also think that if you stayed at the GF/AKL it's more on par with Hilton standards and that the value would be different.
With that said, we have stayed on property numerous times {in mods, deluxes, and villa properties}, but have not tried the values for the same reason you have said - noise. We have heard horror stories from friends over kids running everywhere and we have also heard decent stories as well {I think it all depends on when you go}. At the same time I remember having a noise issue at the Wilderness Lodge {which is considered a deluxe} and having complete quietness at Caribbean Beach {mod}. I think when you go to Disney in general you always have to expect kids everywhere.
I would be curious to try a value, but I know my husband never would as his fear of kids screaming all over the place and noise are just too prominent. I do think this can happen at ANY hotel, however, he feels you're just asking for it more at the values. I, however, wouldn't be opposed to giving it a shot and know that if I hate it I could just pay the difference and upgrade to elsewhere on property.
I think you have to ask yourself what your plans are during the trip {if you find the dining plan to be more of a value vs paying for each meal out of pocket I would pick to stay on property, if you weren't planning on using dining I would stay at the Hilton, bedding would be a lot nicer at the Hilton, transportation would be easier at the value unless you have your own car}.
I don't think the beds are as comfy as the Hilton but I had a pleasant stay at Pop. I was in the 90's section way away from any traffic - I hardly noticed anyone walking by my room at all. But I do think it would depend on where you were located at Pop as to how quiet it will be - so make sure you request a quiet area - they will know where to put you. It is a large resort so for sure you could get a quiet spot! You can even get a lake view - well no balcony but facing the lake.
