Both you and hubby are not wrong. But it really depends on how bad the crying is. Sometimes they cry cos bored or need attention. Some are genuinely upset and needs comfort and touch.
My son when he was a baby, does not like to lie down flat. I will let him lie down on cushions or pillow on an upright position and play with him. You can try such position rather then letting your baby always lie down flat, gets really boring thus will cry for your attention. If not I also will let my son sit on those elevated netted seat and place him by the window (mine is full glass window panel) and let him enjoy the view outside, while talking to him. But of cos will also be carrying him to see anything so as to stimulate his senses. Try not to only carry when he cries, can carry him and play with him even when he is happy. So that he will not associate carrying to crying. but of cos there are times that our babies just need comfort and love from us when they are genuinely upset and need us to carry.
I read somewhere that babies below 6 months needs lots of comfort and if we tend to their needs of touch and comfort more frequently, they will grow up to be a friendly and confident toddler. I followed this advice, my son is now 2 yr + and he is a very friendly and confident boy. Not sure if it is really related but I dont't see any harm done on him.
But rem do not over-carry, Cos I witness babies and toddlers which are deprived from the opportunity to learn to crawl or walk cos parent/ grandparent just keep carrying them. Once my son starts to crawl, I just let him roam freely at home. He crawls at 7 mths and walks at 12 mths. His cousin (due to lack of stimulation - overcarry by Parent & grandparents-inlaw), crawls so much later and only starts walking at 18 month.