Electoral_vote has a story about the DST decision and uses Indianapolis in part of it. It has maps about who will see late sunrises or early sunsets under both DST and ST.
Some quotes from the Indiana perspective:
Bangor, ME, and Indianapolis, IN, are both in the Eastern Time Zone, but on Dec. 21 sunrise is at 7:10 a.m. in Bangor and at 8:02 a.m. in Indianapolis. That means that kids in Bangor will be going to school in the light in December but partly in the dark in Indianapolis. Bangor wins! But wait. Sunset is 3:57 p.m. in Bangor that day, so after-school hockey practice will be in the dark. In Indianapolis, hockey practice can be longer since the sun doesn't set there until 5:23 p.m. on Dec. 21.
There is also a north-south effect. Bismarck, ND, and San Antonio, TX, are at the same longitude but sunrise is at 8:25 a.m. in Bismarck Dec. 21 and 7:25 in San Antonio that day. Kids in Bismarck go to school in the dark in winter; kids in San Antonio don't. With year-round DST, add one hour to each of these times. This means that sunrise in Indianapolis would be at 9:02 a.m. on Dec. 21. Not everyone would be so keen on that.
The obvious answer, instead of 4 4-hour difference time zones, 8 1/2 hour different time zones. Bangor and Indianapolis would be offset by 1/2 hour. I believe India and Australia use 1/2 hour time zones so it isn't unheard of.