Yes, it's easy to clarify. They are all illegal. Unless the site owns the rights to put that music on the net, they are illegal.
Of course it would be an impossible job to police with Soul music because I'm sure the big companies that eventually swallowed up all the independents don't even know what they own the rights to, so it's down to the individual site owners sense of responsibility and morals as to whether they host sound on their site.
I'd also agree that it's very unlikely that the artist would ever see any money from royalties either even if the sites were paying to use sound unless they owned the publishing rights, and very few Sixties artists even knew what publishing rights were unless they were rather astute.
More to the point though, and this will have a direct impact on making Soul music available, if people download tracks that are available on legitimate CDs, it's a sale lost to the record company that put the legitimate CD out. Simple logic dictates that if the record company sell less CDs, they will have less money available to invest in their next release, so it might not happen. Which would be a crying shame because UK companies have led the way in making a huge amount of Soul music available on CD.