Such an important ability for setting up your burst should be uninterruptible. Unlike casters, DHs have no way to fake-cast, and their “go” is often telegraphed whenever they use eye beam, which means it’s easily countered, delayed, and/or reduced in effectiveness.
Stuns or micro-cc can still be used, you still need to be in range of your target, and you’re temporarily immobilized while channeling. Making it uninterruptible would result in it being more equitable to other melee specs’ dps cds.