The big problem is really just cost. Any solid state power controller, soft start or not, will use SCRs as the switching devices. SCRs are not perfect conductors, so they reject about 1.5watts per running load amp per phase into the surrounding enclosure. If it is vented and/or on small loads this may not be a problem, but small electro-mechanical controls are far cheaper than solid state.
Then if you look at, for instance, a 75HP 460V motor pulling 100A FL, it will be rejecting 450W of heat continuously. That will require approx. 200cfm of air exchange to keep from overheating and that will introduce a lot of dust and contaminants, leading to eventual failure. If you seal up the box, i.e. NEMA 12, the starter will cook itself in short order. I once calculated the enclosure size necessary to dissipate the heat of a 75HP 460V solid state starter via skin effect, and it took so much surface area that the box became 90"H x 80"W x 16"D, and that was only if the surrounding air was 70F! So you have to use a Bypass Contactor to shunt power around the SCRs after they are gated fully on, and that adds cost.
There are plety of reasons why more people SHOULD use solid state, but this is the reason they don't; basically people are cheap when it comes to control devices. I have seen someone spend $250,000 for a machine, then try to start it with some piece of used junk across-the-line starter they bought at a surplus sale!
"Venditori de oleum-vipera non vigere excordis populi"