The text doesn't use an `f`. If you copy from e.g. the 1700 passage you get `ſ` not `f`.

Probably people are confused by ligatures. Indeed it is a long S.

This is correct. And if you don't like that font's long-s, you can fix it with

document.body.style.fontFamily = "Baskerville";

Baskerville has a nice long-s. TNR is also not bad. Garamond is passable.