Heck, even today, our fighter aircraft are designed to be inherently unstable to make them more maneuverable in combat. If the computers weren't constantly tweaking control surfaces to maintain the heading the pilot was holding with the stick, they'd be nigh-uncontrollable. I guarantee StarFuries have a whole raft of automatics that the pilot can act as an interrupt on if they need or want to, but otherwise can focus on the situation and instinctive flying.
In Star Wars, there's the conceit that the combat sounds we the audience hear are computer-generated and fed to the pilots through their headsets sterophonically/directionally, to maximize use of their natural senses to maintain situational awareness.
There's plenty of precedent, including in Star Trek, toward the philosophy Gene called "Technology Unchained", where it's all-pervasive in every aspect of life... but unobtrusive, instinctive. One just picks up the thing and uses it because its use is obvious and intuitive and one doesn't need a class or degree to just use the trappings of daily life. See also: How every human generation has an easier time adapting to and incorporating the technology the previous generation created.
I recommend picking up a copy of the Star Trek: The Next Generation Technical Manual. Rick and Mike were the technical consultants for the writing staff, and both vetted stories for workability and had to come up with material where the writers didn't want to bother coming up with that stuff. Many scripts famoulsly feature the [TECH] tag in dialogue or description, where taking the time ot figure out what exactly was going on was something they didn't want to or couldn't do... so it fell to Rick and Mike to BS their way through. The Technical Manual started out as their collected technical notes for the writers, that then got filled in and embellished for publication. Some of the theoretical tech is dated now, but there's a lot of insight into the automated functions running in the background for the crew to actively use or let the ship do its own thing.
To the question at hand, part of plotting the course includes the various waypoints -- diversions around obstacles, course corrections, and the termination alert. The CONN officer getting the alert that they're coming up on their destination is like an airliner's autopilot alerting the pilots that they've arrived at the point where they need to take control back. The CONN officer reporting to the Officer of the Deck that they've reached their destination and are dropping out of warp is the airliner's pilot getting on the PA ant telling people to sit down as they're about to begin their descent. Having the helm alert the CONN that they'd arrived at the planet would be like the autopilot alerting the crew when the airliner hit the airport. It wouldn't be designed that way. Buffer time is factored in. A short hop, say, Earth to Alpha Centauri, would still be almost four days at (TNG) warp 6. You're gonna have time to respond to getting close to your destination.
I am reminded of the fears of train travel in the 19th century -- that people would go mad from their brains trying to cope with the landscape blurring past at a mile a minute. Or, in the 20th century, that you'd suffocate if you drove faster than 30mph. Yes, warp drive is mind-meltingly fast compared to what we're used to here in Reality-Land... But the distances being traversed are equally immense. No blink-and-you-miss-it hair-trigger reflexes needed.