Looking into the fine print on a few airlines, I see the following in their terms of contract. Based on below, I can't determine if this means only if on the same ticket or potentially separate tickets. Some of the flights I'm trying to take aren't allowing me to book it A-HUB-B, so I'd have to do A-HUB/HUB-B. With a 80 minute layover, it should be enough time, assuming no major delays.

9.2 CANCELLATION, REROUTING, DELAYS, ETC.
9.2.1 We will take all necessary measures to avoid delay in carrying you and your Baggage. In the exercise of these measures and in order to prevent a flight cancellation, in exceptional circumstances we may arrange for a flight to be operated on our behalf by an alternative carrier and/or aircraft.
9.2.2 Except as otherwise provided by the Convention, if we cancel a flight, fail to operate a flight reasonably according to the schedule, fail to stop at your destination or Stopover destination, or cause you to miss a connecting flight on which you hold a confirmed reservation, we shall, at your option, either:
9.2.2.1 carry you at the earliest opportunity on another of our scheduled services on which space is available without additional charge and, where necessary, extend the validity of your Ticket; or
9.2.2.2 within a reasonable period of time re-route you to the destination shown on your Ticket by our own services or those of another carrier, or by other mutually agreed means and class of transportation without additional charge. If the fare and charges for the revised routing are lower than what you have paid, we shall refund the difference; or
9.2.2.3 make a refund in accordance with the provisions of Article 10.2.
9.2.3 Upon the occurrence of any of the matters set out in Article 9.2.2, except as otherwise provided by the Convention or applicable law (including in particular EC Regulation 261/2004), the options outlined in Article 9.2.2.1 to 9.2.2.3 are the sole and exclusive remedies available to you and we shall have no further liability to you.