No.
Edited: I just realized that the original question was about the dining plan, not free dining, so my Reasons 1 & 2 relate to free dining, not the dining plan.
Reason #1 - It is just DH and myself occupying a deluxe room. Paying rack rate for a deluxe room to get free dining would most likely exceed what we would pay for food for that day.
Reason #2 - I don't like to have to purchase tickets that I may never be able to use. I know we can save them and use them towards a new AP, but I do not like having money tied up on unused tickets. I don't want to feel like I have to return to Disney to use up tickets.
Reason #3 - The dining plan does not fit the way we eat. We may or may not eat a TS meal on any given day of our trip, and we wouldn't get any use out of snack credits. We are not big breakfast eaters. I don't want to feel like I have to overeat to "get my money's worth". The TIW card has always worked well for us, but since they raised the price, we may not even one of those again.