I am heavier than most, but I still run faster than you.
Some mistake me for a fool, yet everyone else loves me.
Even as centuries pass and empires disappear too--
I stay by their sides, faithfully.
Hint:
The title is also intended to be a hint.
Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. It only takes a minute to sign up.
Sign up to join this communityI am heavier than most, but I still run faster than you.
Some mistake me for a fool, yet everyone else loves me.
Even as centuries pass and empires disappear too--
I stay by their sides, faithfully.
Hint:
The title is also intended to be a hint.
You are
Gold. Gold is heavier than most, and there is fool's gold. Gold does not break down, and it lasts a long time. The title is a reference to the legendary philosopher's stone, which turns base metals into gold. https://en.m.wikipedia.org/wiki/Philosopher%27s_stone
Thanks to @hexomino for this part:
"I still run faster than you" is a reference to a gold medal.
You are
The Moon. You are heavier than most things people use and see everyday, and yet the actual speed of the Moon (say with respect to a fixed point on Earth) is very high.
The title
refers to Cicero
Everyone loves you
It is quite pleasant to be outside at night and see the moon. Also, people in love sometimes go on "honeymoon" after getting married.
But
Some mistake you for a fool. Also, fools may get it wrong when they hear full moon and understand fool moon instead.