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To be fair, a base Model S doesn't have all the autopilot stuff and upgrade sound and everything else. So to compare equivalent equipment packages, that Model S is a lot more than $9k more.

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doesn't the model S though also give you free access to superchargers (unlike the model 3 where you have to pay)? This should factor in the comparison if you live close to one and/or plan a lot of cross country trips where they are available

No, not anymore. That was phased out for new Model S's a few months ago (existing owners were allowed to keep free charging) [1].

http://money.cnn.com/2017/01/13/technology/tesla-supercharge...

The value of free Supercharging is fairly small for most people. If you drive 12,000 miles/year and 25% of your driving is Supercharged, you'll end up paying something like $100/year in Supercharger fees for a Model 3.

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