I've just pulled one shot and am ready for another a minute or so later? Is it still necessary to wait for the boiler to heat up for a minute or so, then do another cooling flush?
Yes...and yes.
If you did any steaming in between I would give it some more time. What you need to remember is the longer between shots the more volume you will flush (although it will be much smaller than after the machine has been at rest). You kind of want the steam boiler to have equalized its temperature again.
Here is some general times from memory when I was using my Oscar, this is just a starting point to get you in the ballpark, you will find what works best when you become more familiar with the machine.
If I were to pull back to back shots with no steaming...say around 1 1/2 minutes between shots (time to prep, grind, tamp) the flush would be maybe two seconds, watch the water dance from the group and it will end abruptly. I'd then pull the shot in 10-15 seconds time.
If I had steamed 4 to 6 ounces in a pitcher after a shot, I would allow the boiler to stabilze...say 3-4 minutes but then the HX circuit would still have absorbed more heat than during the quick shot sequence without the steaming in between...so you will be flushing more water through the group before the shot, say 5 seconds worth.
Hope this helps, as usual time and experience will give the best results!
Congrats on picking up a great machine!