The sad thing is that you can 'sleep train' an infant.
Infants, even tiny ones, eventually fall asleep with exhaustion, and stop crying. If you persist, really really persist, they learn not to cry for very long, because this is wasted energy - they're not making a cognitive judgment of course but a physiologcal response based on the fact that no matter how much they cry, no one will comfort them, feed them, check they are comfortable, soothe their sore tummy, straighten the fold in the sheet that's bothering them, attend to the draft blowing into their cot, sing to them to soothe them and reassure them they are not alone....
A tiny baby is dependent on us for all of those things and it's not 'pandering' to supply them.
It's really not a good thing for parents to ignore their own feelings of needing to comfort, either.