It only takes a single counter-example to break a "proof". I'll give a two.
2011 Hyundai Sonata
Manual: 24/35 mpg
Auto: 22/35 mpg
2010 Chevy Cobalt
Auto 24/33
Manual 25/35
XFE Manual 25/37
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11-mile commute: 100 mpg - - - Tank: 90.2 mpg / 1191 miles
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