No, you are not being unreasonable, but they are!
Babies have to adapt to the world that they live in, not the other way around.
I made so many mistakes with my first, only ever put in his cot once asleep etc. Number 2 was put in awake, I would hoover (sorry, product placement, I mean vacuum) around the house, catch up with other chores, phone friends etc.
Seems like they are being far too precious.
Sorry, harsh but true, but just because you have a small baby, the world (or even the rest of your family) will not dance to your tune.
Get over it!