Same effort, same power output, same amount of time = effectively same amount of overall exercise. Distance traveled will vary depending on the bike. Given the simple and well-defined hypothetical question, the answer is really quite simple.

All the other nonsense going on in this thread is some combination of

1. lack of reading comprehension
2. obsessing over the details of a hypothetical example that is not actually germane to answering the OPs root question
3. confusion about how to apply physics terms to a real world question
4. just the desire to argue on BF.

I suspect #4 most strongly.