People that get up at six are not late risers, but anyway, from web resources, the sun rises in Chicago at 5:32 AM CST on April 2, which is 6:32 AM CDT, so your point carries some water, but note that on March 1 the sun rises at 6:26 AM CST in Chicago, so the onset of CDT is no worse than that as regards morning light.
But then, by April 22, the sun rises at 5:00 AM CST, 6:00 AM CDT, and then:
June 1 - 4:18 AM CST, 5:18 AM CDT
July 1 - 4:19 AM CST, 5:19 AM CDT
Aug 1 - 4:45 AM CST, 5:45 AM CDT
with setting times:
June 1 - 7:19 PM CST, 8:19 AM CDT
July 1 - 7:30 PM CST, 8:30 PM CDT
Aug 1 - 7:09 PM CST, 8:09 AM CDT
so the advantage here should be obvious.
I do agree that the the expansion of DST into late winter and mid autumn makes no sense.
Technically you don't gain or lose an hour of daylight or sunlight. In the northern parts of the United States, the longest day of Summer brings about 18 hours of sunlight, and the shortest day of Winter brings about 18 hours of darkness.