I Can All Baryons Annihilate with Their Corresponding Antibaryons?

[snorkack]

Different baryons routinely annihilate. Like antineutron and proton.
Wikipedia article on annihilation acknowledges this.
But at
https://en.wikipedia.org/wiki/Annihilation#Proton-antiproton_annihilation
near end of first section, I find statement:

This type of reaction will occur between any baryon (particle consisting of three quarks) and any antibaryon consisting of three antiquarks, one of which corresponds to a quark in the baryon. (This reaction is unlikely if at least one among the baryon and anti-baryon is exotic enough that they share no constituent quark flavors.)

The most common (lowest energy and longest lifetime) baryon that shares no flavour with nucleons is omega hyperon.
Annihilation of antiomega hyperon would be energetically favourable. 1672 MeV of Ω plus 938 MeV of proton sums up to 2610 MeV, while 3 kaons would be just about 1490 MeV.
So, does antiomega hyperon have a conspicuously lower annihilation cross-section and longer lifetime in matter compared to other antihyperons which do share quark flavours with nucleons?

 

[mfb]

$\Omega$ has a lifetime of 82 ps, corresponding to a few millimeters to centimeters of flight distance, and we cannot produce it at low energies (with relevant cross section). It decays before we could observe low-energetic annihilation reactions.