I truly dislike anyone using dish soap rather than the commercial insecticidal soap. How do you know how much to use without doing damage to your plants??? Anyway, take the hose out to your plants before you spritz on the soap sprays. This will temperarily get rid of most of the mobile insects. Insecticidal soap sprays are only damaging to insects that get soaked when you spray. There is no residual effect at all. Hard bodied insects such as beetles, grasshoppers, scale, mantids, etc. are not harmed to a great degree anyway.

By the way, aphids come in all sorts of colors!

Which dish "soap" would you be using? Many are detergents and not soaps and real soaps, those made from animal fats, are the ones you want to use for insect control. Will they harm beneficial insects, absolutely if the good bugs contact the wet soap solution. Like any non specific pesticide it can kill anything it contacts.
Aphids can be removed from plants with a spray bottle, you do not necessarily need to use the hose and that helps solve a problem I've heard about the hose spray shredding plant leaves because way too much force was used.