Here's my 2 cents (plus appreciation). Baker is it's own animal. Where Platt Park became desirable was at the moment when the market was high and other 'bungalowed' neighborhoods, including Congress Park, had gone through the roof. Progression spread to Platt, including many scrapes of older homes and higher ticket new-build duplexes pushing up the price points.
Congress Park (where I lived for a decade) has always been a great, solid neighborhood. It got pretty big for its britches during the boom and I saw the market downturn as a great moment of adjustment to Congress Park, returning it to some level of affordability. (it has fully recovered at this point).
I have been a Denver Realtor for nine years and Baker's always had that "This is going to be the next best thing" buzz about it for most of that time. I worked on the Watermark building from pre-sale construction phase through its opening and first two years of sales, always touting the area. The issue is that it has great appeal for a specific buyer pool but that pool is not huge. Schools in the area are not excellent, South Broadway area is very mixed with some great places and some that are a bit seedy. My biggest thing with Baker is that the homes are so, so close together and the lots are small.
Personally, I see Baker as having topped out and will remain in a steady, moderate growth pattern but I'm not seeing it as the next big thing. (and I have real good luck with those 'next' neighborhoods)