Arriving at the hospital 10 minutes later (and THAT would be a very conservative time as I know, from Lambton to John Hunter, finding a park and then having to carry it into the ward) with large takeaway cap's (yeah, I can't spell it either) would without a doubt, 'convert' them into ordinary "flat" whites in my view.
How can you figure turning up with 10+ minute post espresso takeaway coffees to be a "real" coffee? Stale, warm and flat stretched milk, yuk!
I do, however agree with you that a "good instant would have been better" in this case!
I don't get much coffee from there now as I roast and make a great coffee at home. But when I am there, I let them know that I "know" coffee and watch it being made.
It's my view that, takeaway coffee, like most other takeaway foods, will always be inferior to serve and sip for all the obvious reasons.