If we count $\pi$ electrons, we discover that $\ce{C2O2}$ has an unfavorable count for forming a stable molecule whereas both $\ce{CO2}$ and $\ce{C3O2}$ are much more favorable. This effect is discussed in the context of whether there can be aromaticity without rings.
When you have a linear chain of $sp$ hybridized atoms, as in $\ce{C_mO2}$ oxides, the $\pi$ orbitals are all doubly degenerate, with no nondegenerate low-energy orbital like conventional aromatic rings. Therefore the favored $\pi$ electron count for maximum stabilization is $4n$, not $4n+2$. Well, in $\ce{C_mO2}$ we find there are $2m+6$ $\pi$ electrons, so with both $m=0$ and $m=2$ we get an unfavorable count. With the double degeneracy we then get diradical species, and when we draw out molecular orbitals we find that the unpaired electrons are in $\pi$ antibonding orbitals effectively weakening the bonds holding the molecule together.
With $m=0$ ($\ce{O2}$) the only alternative is to break up a lot of bonding orbitals leaving the individual atoms, but with $m=2$ the poorly stabilized $\ce{C2O2}$ molecule can and does break into two relatively stable $\ce{CO}$ monomers.
Comparing the $\pi$ electron structures for $m=0,1,2,3$:
$m=0 (\ce{O2}): \color{red}{6}$ $\pi$ electrons, diradical, but too small to decompose into alternative stable species.
$m=1 (\ce{CO2}): \color{blue}{8}$ $\pi$ electrons, nonradical species with strong resonance stabilization.
$m=2 (\ce{C2O2}): \color{red}{10}$ $\pi$ electrons, diradical; can and will decompose to stable smaller molecules.
$m=3 (\ce{C3O2}): \color{blue}{12}$ $\pi$ electrons, nonradical, resonance stabilized; can undergo nucleophilic/electrophilic addition (polymerization) but not decompose; storable under controlled conditions.