Yes but the word 'bad' constitutes a lot of other things.
It is just one specific event that every sane person will probably consider as 'bad'. (define sane
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)
But the term 'bad' is not just used to define this one specific event but it represents a generalization of lots of other thing.
For example.
A shark caught a man's hand, and the man cut out his hand and escaped.
You can say it was a bad event.
You can say it was a good event because the man was able to escape alive nonetheless.
you can say it was just an event, neither good nor bad.
For all the cases it is all subjective.
In some cases, majority shares the common subjective viewpoint and some cases they does not. But consensual subjective is not really objective. If everyone in the world starts to believe God is a Dog, it does not becomes true.
If someday human body gets altered and it starts to enjoy pain, then it may considered dying while getting tortured is a pleasure.
It all depends on state of mind, evolutionary mechanism, conditionings and all that.
And depending on that we create subjective viewpoints.
There is no getting out of subjectivity.
Fever. Normal people will say fever is bad.
But I had great fun with my fever.
ok I am abnormal, but subjectivity does not becomes a lie.
With placebo effect, and with some real hardcore mental training, it may be even possible to filter all amount of raw pain.
May be.