Truth, the noun, is objective. There is only 1 truth, not multiple conflicting truths. 
Sentences as “cats are prettier than dogs” are neither true nor false, just opinions. There can be a lot of opinions but it’s not precise to say there are a lot of truths. “Subjective truth” is just an opinion. 

 One of the greatest managers I had at work always used to say “perception is reality”. That’s certainly true in a work environment, but sadly more and more true in the real world too.