Again need to agree to disagree.
Here’s a partial list showing blood alcohol levels at 0.48% and 0.05%. A level many would tolerate without appearing drunk.
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Consistently both on fMRI imaging as well as neuropsych testing impairment is apparent in all spheres of cognition but to a particularly significant degree in executive functioning and attention.
Fatigue means totally different things depending upon context. Muscular or cardiovascular fatigue recovery times after exercise are brief and after recovery have no effects on cognition. Sleep deprivation has a severe and persistent effect as it only resolves after a period of recovery sleep with higher and earlier REM and more slow wave sleep. It generally takes 2-3 days to fully recover.
You use a common debating technique to confound the audience. Stress impairs cognition. Anxiolytics such as benzodiazepines, alcohol and THC have anxiolytic properties. With mild intoxication although cognition is impaired its impairment is superceeded by decreased anxiety depending upon the subject, level of intoxication and anxiety. This doesn’t mean that the alcohol doesn’t impair. Rather one could achieve better functioning taking heed to the old saw”keep calm-sail on”. Pre training with counseling or cognitive behavioral therapy would be preferred to using any form of anxiolytic.
You seem to try to compare the short term due to short half life effect of alcohol to the more persistent effects of sleep deprivation. Not logical. Both are bad.
One should note significant chronic abusers were not included in the above studies.