Can antimatter be stored if there are no positrons?

If antimatter is stored regularly – such as an anti hydrogen atom – it’s stored using magnets to hold it in place in a vacuum to prevent it from annihilating. This is because electrons and positrons would otherwise annihilate and couldn’t be stored safely. I know that different types of antimatter and matter cannot annihilate (Such as an anti strange quark with an up quark). If this is the case, then would antimatter without positrons surrounding it annihilate with the atom’s nucleus by passing through the electrons due to the strong attraction of nucleus – anti nucleus, or would the negatively charged anti-nucleus be repelled by the electrons with a greater force, not annihilating and allowing storage?