Not getting my hopes up. When Model S dual motor was first announced, they made a big deal about how range was improved. The P85D was initially listed with a "range at 65mph" of 285 miles. That got everyone excited about a significant bump in range and no doubt contributed to a lot of people ordering the car. When the EPA range of 242 miles (later revised to 253 miles) was revealed, there was all sorts of speculation that maybe Tesla was factoring in 21" wheels and/or 90% charge limit. Turns out, it really was just 253 miles (12 miles LESS than a regular 85, and 17 miles less than an 85D). In short, adding another motor (and leaving the original motor unchanged) makes a car heavier and less efficient.
Here's a good Tesla blog to review. TLDR, the cars are all in the same ballpark in terms of range.
Driving Range for the Model S Family