Forgive my ignorance perhaps, but just becuase your laps are being timed doesn't have to put you under pressure...
The only thing that would cause anyone at a track day to feel pressured into doing fast times is themselves...
If people don't think they can control themself and keep their driving within their own limits, then they probably don't belong behind the wheel of a car, let alone flogging their car on a racetrack.
And also like to point out that there is no jostling for postion at a track day, dangerous overtaking manoeuvre's are not allowed and you can only pass cars on the straights.
I would imagine that in any case, if you want to drive your car on a track, you will be pushing it hard.
if you just want a FUN leisurely drive, just go for a cruise through the hills...
If you want to enjoy pushing your car to the limits come to a track day, if the fact that it is timed bothers you, just don't look at the results!!
I have been to several winton fun days, I just felt like I was on my normal drive home from work on the freeway! Traffic Everywhere!
If anything its much more dangerous as you are mixing people who are traveling at vastly different speeds together on a track.
At least on a track day you are grouped with people who should be traveling around at the same speed as you.
It is a much more controlled environment.
Just some things to think about.