I'd like to call attention to describing piloting as feeling slower.
It sounds like you have said something objective. But really perception of time is a completely subjective phenomenon as well, constructed from unconscious processes which create conscious experience.
People in great fear report time slows down, but also top tier athletes.
Thinking hard about something is one particular kind of unified subjective experience.
While you are correct that perception of time is subjective, I'm not referencing that phenomenon at all.
I'm talking about measuring reaction time or brain imaging studies.
For top athletes autopilot kicks in and reacts to the situation, then issues commands to our subconscious body control processes, which then issues nerve impulses to begin movement, all before the pilot (prefrontal cortex?) has even perceived the situation, let alone made any decisions. The autopilot knows how to do this via repeated trailing guided by the pilot function.
You can also observe this in brain imaging studies which can show the body reacting before any thought took place. If pressed people will invent a rational justification for their behavior but the brain images prove this is entirely post-hoc most of the time.
My theory is this is due to conscious thought being so much slower, but I don't have any proof.
It sounds like you have said something objective. But really perception of time is a completely subjective phenomenon as well, constructed from unconscious processes which create conscious experience.
People in great fear report time slows down, but also top tier athletes.
Thinking hard about something is one particular kind of unified subjective experience.