For historical reasons (and the different “traditions” of different vocations), the term “soldering paste” is commonly used by plumbers, sheet metal workers, etc. to refer to flux paste. (And because such pastes are normally corrosive, I would avoid using anything labeled “soldering paste” for electronics.) Sometimes, in those fields, the phrase is shortened to “solder paste” even though it is just flux.
In the electronics tradition “solder paste” (no “-ing”) means the solder powder suspended in paste flux. But on occasion, some vendors will use the term “solder paste” for flux. In my experience that tends to be companies that either aren’t specialized in electronics at all, or ones that are old-fashioned and a bit sloppy (like Nipponamerica looks like to me). As many such companies don’t understand that chloride-bearing electrical fluxes that are OK for electrical work and really old, large electronic parts (like in point to point wiring in old tube radios) are not OK to use on modern electronics, I would steer clear.