Thank you for the reply.
Please, don't misunderstand me. I'm not talking about chasing ship, but about situations when the AI controlled ship switches between multiple targets that are in range and don't need to be chased. Sometimes switching back and forth.
Further, the issue is not necessarily related to finishing damaged opponents, but simply to the ability to effectively combat a selected target, even if it's high health. Dropping a successfully engaged target (that is often right in front of the ship), and switching to a fresh one is very dissatysfying, double so if the engaged target is close to death. Also, moving to avoid flanking does't imply the ship needs to change targets when the previous target is still within range.
To sum it up, the issue is related to the selection of targets from the pool of enemies within range, not the ai-controlled ship movement.