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Do your plants have some particular characteristics that differ from Lobularia maritima?
Note that flower colour is not necessarily a distinguishing characteristic, particularly for species that have been in cultivation a long time. (I assume your question largely arises from the different flower colours you have among what appears to the same species, from what can be seen in your photos?)
these images are taken about 3 years ago. i heard something like "sweet alyssum" but the true genus is probably Lobularia. I think you are right that the flower colors are not an essential distinguishing characteristic.
So we settle these images are Lobularia? I am leaning that way.
In addition to habit annual (Lobularia) or Perennial ((Alyssum), what can really help in identification is that plants of Lobularia maritima are usually shorter than 15 cm whereas they are almost always taller than 15 cm in Alyssum.