Yes, mother nature always gets it right, but few people are observers of science experiments beyond a rising cake or overloaded boat sinking, so you're talking semantics. Truth and fact are interchangeable for most people, they are even used to define each other..
truth
noun \ˈtrüth\
the truth : the real facts about something : the things that are true
: the quality or state of being true
: a statement or idea that is true or accepted as true
1 a archaic : fidelity, constancy
b : sincerity in action, character, and utterance
2 a (1) : the state of being the case : fact
(2) : the body of real things, events, and facts : actuality
(3) often capitalized : a transcendent fundamental or spiritual reality
b : a judgment, proposition, or idea that is true or accepted as true <truths of thermodynamics>
c : the body of true statements and propositions
3a : the property (as of a statement) of being in accord with fact or reality
b chiefly British : true 2
c : fidelity to an original or to a standard
4 capitalized Christian Science : god
— in truth : in accordance with fact : actually
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
fact
noun \ˈfakt\
: something that truly exists or happens : something that has actual existence
: a true piece of information
Full Definition of FACT
1:a thing done: as
a obsolete : feat
b : crime <accessory after the fact>
c archaic : action
2 archaic : performance, doing
3: the quality of being actual : actuality <a question of fact hinges on evidence>
4 a : something that has actual existence <space exploration is now a fact>
b : an actual occurrence <prove the fact of damage>
5: a piece of information presented as having objective reality — in fact
: in truth