Me too! Apparently there's lemon basil and cinnamon basil. I'll be finding them when I can to plant them. Also to answer your question the same rules apply for all plants grown indoors. Might as well try to make use of any wasted light not used by the plants.
My basil had flowered big time. I did some reading and apparently if you want a large yeild of Basil you want to pinch off or prune the flowers. Same rukles apply in cannabis. If you let it get pollinated it stops doing what it does best. Also essential oil production is reduced after as well. Basil is very hearty. The one the cuttings came from is 4 feet high and looks like a bush. The sun this year was amazing for plant growth. I wish I could bring my plants outside at least during this month. Maybe if I'm lucky the aphids will scurry away. The garden is filled with mint, basil, citronella that was marked as another plant, thyme, rosemary, chocolate mint(mmmmmm), lavender, parsley, and cilantro. It does have a issue with leafminers and caterpillars, but otherwise the garden is healthy. They all came from nurseries, so some had pests. Some had those wart like growths on it too. Plenty of been and lots of pest controlling plants and it became a super healthy garden. Who knows, maybe I'm benefitting from them even indoors. I've seen stranger things. We have grape vines, apple trees, strawberries, Japanese maple, tomatoes, and squash growing outside. Makes me wonder if any of those can benefit nearby plants at all.