Most of the increase in accuracy features are differences not so much in the satellite equipment, but what has been set by each system operator as being within the free package vs what is available as extra paid or specially authorised user service level and the receiver's one uses. A dual band receiver is important.
Satellite-based augmentation system (SBAS) corresponds to the FAA's WAAS system, Wide Area Agumentation System, and US defense Dept WAGE system, European Geostationary Navigation Overlay Service (EGNOS), operated by the ESSP (on behalf of EU's GSA), The commercial StarFire navigation system, operated by John Deere and C-Nav Positioning Solutions (Oceaneering), plus others.
These are all wide-area differential GPS based positioning systems that enhance the basic raw satellite positioning capability.
A 3D fix is not a sufficient criterion of quality. The PDOP is an indicator of the precision of the GPS measure (Position Dilution of Precision). If it is higher than 6, you can consider that you do not have a good fix. Under 4, it is good enough for OSM tracking. Less than 2 means you have a very good fix. The quality of the DOP depends on the GPS capacity of correcting the satellite's signal, which usually depends on satellites being dispersed. You can have a good DOP with only a 2D fix.
--Einstein gave the same test to students every year. When asked why he would do something like that, "Because the answers had changed."