Good summary Ed!
One may take "stainless steels only solution annealed" a rule of thumb, and it may apply to some general stainless. But it is exactly not right. as Ed pointed out, PH grades normally must anneal/age after solution to precipitate phase to strengthen material. for example, 17-4 (630) condition H1150 is obtained by anneal at a temperature of 1150F. Stabilized grades 321/347 needs to anneal at intermediate temp to have Nd/Ti tied with carbon to protect Cr.
Sometimes for cold worked SS, one could do a sub-critical anneal, or stress relief anneal to control grain growth and soften/stabilize the material. but caution must be taken to prevent sensitization and/or undesired phase precipitation. Low carbon "L" grades may not have sensitization issue, but even lower temp stress relief anneal could boost hardness even for 316L.