Of course you could, and should go home to your family. If the rest of the crew has a problem with that, tough, it's your family. But it's not considered bad manors, so they shouldn't have a problem with it.

Many airlines have a hotel buy back program, where the company pays you some percentage of the hotel cost if you don't use it on a layover and cancel the room within the guidelines setup in the contract. Whether the carriers you mentioned have that, I can't say.