the route can be altered a little bit.
you do need Lightning Web to reach the Buster capsules. so at best, Owl could be third after Dragoon and Spider.
this trick saves quite a bit of time. you can replace the Nova Strike with an air dash.
a potential route would be Dragoon, Spider, Owl, Walrus, Colonel, Mushroom, Stingray, Beast, Dragoon revisit, Peacock. Stingray and Beast could be moved around a little bit if its not too costly to fight them without their weaknesses.
i suggest fighting Stingray before getting the Plasma Shot. because his stun from Frost Tower is so long, it might be beneficial to fight him without it, using full charge shots on him until the last hit, where Frost Tower would be okay. i say full charges because his stun time is the same for full charges and half charges. i say before Plasma Shot because the lingering blast might mess up the charge shot strategy.
so if that works, the route would be Dragoon, Spider, Walrus, Stingray, Colonel, Owl, Beast, Dragoon revisit, Mushroom, Peacock.