I never saw such a problem with my 96. I was keying off momentarily to kill it. Do you have an injector or ignition kill instead? Try using the key for a while and see if you have different results. That battery usage seems more than excessive. I would see a spike in power consumption when I key on, as the fuel pump primes, but then it drops back down.
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11-mile commute: 100 mpg - - - Tank: 90.2 mpg / 1191 miles
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