But this is wildly inefficient. Plant genomes are often ridiculously large (e.g., the onion genome is 4X the size of the human genome), so you either have to throw a bunch of mutagen on the plant (which can cause off-target, toxic mutations) and/or plant a bunch of seedlings to get the plant you're looking for.
New methods often include introducing new genes with mutations through agrobacteria, gold nanoparticle bombardment, etc. without needing to actually mutagenize a plant genome. Do your mutagenesis on a specific gene in bacteria, and then test those random genetic variants in plants.
But for me, what is more exciting is a relatively new shift toward targeted mutagenesis directly in plants. For example, CRISPR can be used to target mutations to specific genes in situ (and not insertions or deletions -- useful point mutations through the use of base editors) [0]. I think the directed evolution of plants will be a pretty fruitful (lol) area of research in the future, and I'm excited to see where that field goes. Gotta love new plants!
[0] https://www.nature.com/articles/s41580-020-00288-9 -- see section "Mutagenesis and directed evolution"