Are you aware that there is a setting "Redirect Delay" on page "My Account" > "Preferences"?
Setting the value to 0 should be nearly what you want.

@atrol: Well, that is certainly an substantial improvement! Now the "Proceed" screen flashes by very quickly. I wonder, though, whether an immediate HTTP redirect would "feel" even faster. I leave it to your discretion.

In fact, as I navigate around, everything feels much more responsive, not just the "Proceed" screen. Is that setting introducing a delay into every page load, by any chance?

Is that setting introducing a delay into every page load
No, it doesn't