As I propose in this post, About the mass of the particles, imagine a universe with massless quarks due to Higgs' VEV is exactly zero.
In our universe, where quarks are massive, we have consider that mesons are the result of the spontaneously chiral symmetry breaking (SCSB, shortened). Since chiral symmetry in our world is an apporximate symmetry the Goldstone bosons, i.e., the mesons aren't massless.
But now, in the universe I propose (with Higgs' VEV equals to zero)chiral symmetry is exact. An SCSB would produce real Goldstone bosons which are truly massless since chiral symmetry is not approximate. Nevertheless, mesons that are made of pairs quark-antiquarks that could bind due to QCD interactions, quarks still have colour charge, and these one are the most relevant part of the mass of an hadron.
Besides, we know that there are mesons such as $\eta'$ that do not arise from the SCSB an have mass, so what would happen with this 'special' ones in my proposed universe?
Therefore, I have 2 ideas to understand this universe but give 2 different solutions, so are mesons massless or massive in a universe with Higgs' VEV $= 0$? In one of the comments given by @MadMax in the post I link, he suggests that dynamical chiral symmetry breaking would induce mass to fermions, but I don't even know what 'dynamical' symmetry breaking is.