Normally (diploids) when a plant is crossed with itself (self-pollinated) the characteristics are more or less reinforced. Tetraploid genetics are not anything as simple as diploid genetics but it would be quite unexpected for all the seedlings to lose the patterning - so there should be at least some patterned seedlings in a batch of seeds from the self-pollination. However, it all depends on how stable the patterning is in the parent. If it only appears under uncommon conditions (for example, more often in Florida) then patterning may not appear in the seedlings (not be noticeable most of the time in other locations).