Dandaweedman

homozygous---Relating to a cell that has two identical alleles for a particular trait at corresponding positions on homologous chromosomes?

Ummm, you are way over my head here.

Homogonous? -- Having all the flowers of a plant alike in respect to the stamens and pistils

I am going to assume more of the latter. If you cube it enough the notorious "they" say that it will become homogonous with the parents (clone used in the cubing) traits.
But like you have said, when you do the next seed run you could be fine, or not. But subsequent seed lines could turn into a veritble hodge podge of what have you.

__________________