I tried to think of a good example for consideration. I decided to try using one often cited to try to improve common understanding of the concept of quantum entanglement. I have added little bits to it.
Consider someone who has knitted a pair of gloves for themselves so they created a left hand and right hand glove. A relationship is then established between the gloves based on utility or purpose. (left hand, right hand warmth, protection). No information physically passes between the gloves at any point in time except via an observer or observational system that has knowledge of the relationship established by the system which created the gloves.
If one day the owner of the gloves goes to the other side of the world on holiday, opens their suitcase and notices that one glove is missing (lets say it was left in a drawer at home). When the observer confirms that they have the left hand glove, they instantly know, via the relationship between the gloves, that the missing glove (or glove state) is 'right hand'. This knowledge can therefore be known at 'faster than light speed' (quantum entanglement) and the state of the missing glove can be known instantly, regardless of the distance between the two gloves. Information cannot travel faster than the speed of light in a vacuum but the system of entanglement means a quantum state can be known instantly based on the concept of relationship or RELATIVITY.
So, could we say that the 'logic state' of the 'left glove, right glove binary relationship is an absolute truth? If you know or can know one state then the state of the other is an absolute truth. I think it is.
The charge of an electron is also an absolute truth from the standpoint that it is negative. All electrons ( or excitations in the electron field) are identical. The charge is -1.602 x 10^ -19 Coulombs but with better measuring equipment that quantity could be even more precise.
I think this is the valid point being made by
@Alkis Piskas, no measurement can ever be an absolute and perhaps even the speed of light in a vacuum can be measured more precisely but to me, that is irrelevant as that does not mean an absolute value does not exist, it just means we will never be able to measure it.
I also don't see what relevance the 'paradox card' has.
All paradoxes seem to me to be mathematical stretches of propositional logic, and little more than that.
'The only absolute truth is there are no absolute truths' is just a propositional logic statement it is no evidence at all, than absolute truths don't exist. In the same way that the liars paradox does not prove that a liar or lie's don't exist or the barber's paradox prove that barbers don't exist.
This unfortunately also means that the omnipotent god paradox also does not disprove god exists, but hey ho, the universe does allow for whimsy!