To do this you would need to buy an auto potion instead of a super pike ball when leaving Scuttle Town, which would make the spider boss fight much slower if you didn't get a monster milk or super pike ball drop, so I'm not sure how viable this is.

This skip is definitely faster than the current pistol tune up strat for normal mode runs, and it could allow the pistol to be skipped entirely if anyone knows a way to do the tan line temple skip without the pistol. I tried for a while and couldn't find any way around that purple block without it.