As someone with a newborn, thank you for sharing this!
I read a study that children that are carried all the time cry a substantial amount less than children that are not, something like half an hour less per day.
obviously baby which is held/touched by another human, ideally mother/father will cry less than baby alone from adults even if it means 0.5-1 m distance
It's expensive but my first child slept terribly; I'm not taking chances with my second.
From our experience - and of course every baby is different - we found consistency is key. New borns need to nap like every hour and you as parents need to actively manage those naps to make sure they happen at the right time, and you do the same set of things each time so soon enough baby knows that when you do foo that sleep time is coming and they calm down. Foo could be singing or a special story or getting into a sleep sack or music or whatever. Then just into a normal cot and they slept soundly.
The other thing we found that was essential is a £10 gym/yoga ball to slowly bounce/jiggle on while holding them. Worked really well for us (as part of the routine).
Good luck. Perhaps as every baby is different you really need the 2k cot, good luck either way.