Crying is a baby's only tool, and babies are certainly allowed to feel emotions like boredom, disgust, annoyance, cold, as well as physical pain. You're also allowed to ignore your bored or upset child. But don't call it manipulation when the kid is being absolutely aboveboard and straightforward. Viewing it as 'manipulation' actually increases the likelihood, in my view, that you'll raise a duplicitous child, because from babyhood on the kid'll be taught that saying directly what you want is frowned upon.
As for sleep training, mentioned by a sibling commenter, our reactions to a baby's cries are definitely directly related to kid's bedtime patterns, and I would advocate for a middle road: there's no need to be rigid about a philosophy. With our kid, we'd wait five minutes for crying to stop. Any kid and any adult can wait out five minutes when it's just bedtime, not a question of physical distress. If the kid was still crying after five minutes, check in; if the kid is asleep, win! The kid knows they're not being abandoned for all eternity; you know you don't have to listen to this (*& forever; and we were lucky that it never took us more than 15 minutes (two checkins) before kid fell asleep. Children are different; YMMV.