A centerfire .224 cartridge can, has, and will kill deer just as well or as poorly as every other cartridge. Bullet placement is #1, even with less than ideal bullets.
Typically, the majority of .224 HP, SP, and Tipped bullets are lightly constructed and are made to expand and disintegrate quickly on varmints and predators. It is unfortunate that many people use such bullets for deer, but, it is also proof that under ideal circumstances, and when placed in the perfect spots...those bullets will kill deer.
Luckily now more than ever, there are a variety of bullets in .224 that are specifically made to be used on deer sized animals. They offer better penetration when less than ideal shot angles are available.
I have ZERO reservations about using 50gr or 55gr Copper bullets in .223 for deer. And have some loaded, range tested, and sent through some woodchucks in preparation for the time when my AR is legal to use for deer.