That's assuming the attacker regains control, so you'd have to visit a malicious page every time the attack needs to be re-initiated. EDIT: I'm dumb, somehow I managed to forget mid conversation that this was assuming MitM and not a compromised site. Disregard this point.
Also, while this method can be used for other, static data, pretty much all of the stuff you would want / have access to through doing this will be time-sensitive. Even a straight 72h most "secure" things such as cookies will be changed, forcing a restart of this process. Extending this even longer just gives a bigger window for the cookie/whatever to timeout.
EDIT: though I guess if the cookie you're trying to crack doesn't expire, then this could be an issue. I still think there are vastly easier methods if you can arbitrarily inject into http pages though.