Theres no reason not to tame a Bary, they are extremely usefull, from caving, to water taming and exploring, and just general traveling. They are very fast on land, being able to outrun raptors, carnos, even allos. When it comes to underwater capability, its got decent speed, being able to outrun all surface level water dinos, and being able to stun creatures as big as and smaller than a megalodon.

The only downside to the Baryonyx is its taming food, wich can be pretty annoying to find, unless youve got access to plenty of its kibble, wich comes from a pretty underused dino.