If Truth is a religious term then it should only be used in a religious context. That would preclude and invalidate any criminal and civil trial based on factual evidence and eyewitness testimony.
Yes, one should be aware of turning it's context into a religious structure, if "truth" is being used.
No, the problem in trials is only the choice of wording, while there cannot be any trial happen, that reveals any absolute objective truth, if beings are involved, that have no ability to comprehend anything objectively at all.
It's like science, in science cannot be found any absolute objective truth, but the most probable result that is atm in reach to explain a phenomenon, because it can be described in relation to the known conditions, that have influence on it. So scientifically everything we seem to understand must always be seen as a temporary explaination, which will very probably change sooner or later.
In trials it is always the same, after new facts have been discovered, the results might change drastically.
So there is simply no reason to use the word truth at all.
Historically there is a reason why it is being used, trials were first developed by the christian church, and later developed further by civil society, while the term "truth" has never been replaced by a scientific term. Probably because it is so useful in political maneuvers, mostly to manipulate the publicity.
I don't know much about Kant and I don't care much what anyone else thought, I think for myself.
Fact is, our eyes don't see, our brain does create the picture, and that counts for all our senses, the brain interprets.
If we know of one thing, then it's that there are always things we don't know about.