My experience agrees with you but the confusion comes from Harris's own data:
Stay-Clean® Paste Flux
Description: General Purpose Solder Paste Flux
An active soldering flux formulated for use with tin-lead, tin-antimony, and tin-silver solders. Superior flux for most metals, copper, brass, bronze, steel, stainless steel, galvanized, Monel. Not recommended for aluminum, magnesium, or titanium. Not recommended for electrical or electronic applications.
Here's a chat I had with Harris:
Chat InformationPlease wait for a site operator to respond.
Chat InformationYou are now chatting with 'Brandy'
Brandy: Hello. How may I assist you?
you: Hi Brandy, I have a question about the application of Harris Stay Clean Paste Flux
you: the data sheet suggests that it can be used for soldering stainless steel but I'm finding that it doesn't work at all like the liquid equivelent
you: your website says: ...Superior flux for most metals, copper, brass, bronze, steel, stainless steel,
Brandy: For soldering on stainless steel we recommend to us stay clean liquid soldering flux. Superior flux is not our product
you: no....
Brandy: I see sorry
you:
http://www.harrisproductsgroup.com/en/Products/Alloys/Soldering/Fluxes/Stay-Clean-Paste-Flux.aspx
you: I purchased a 1 pound tub of this based on that data
Brandy: one moment
you: is it possible that text was just copy/pasted from liquid?
Brandy: I believe so because if you look at our spec sheet click on technical documents then under Soldering click on fluxes then click on spec next to stacy clean paste flux
Brandy: I will contact the appropriate person to fix this information on our website
Brandy: The spec sheet is correct
you: Is there any way I can swap this 1 pound tub of paste for a 16oz bottle of liquid since I can't use it
Brandy: Please contact the supplier you purchased from and have them contact customer service ph# 800-733-4043
you: I guess I'm out of luck because I got it from an Ebay vendor
you: who also parrotted the wrong info
Brandy: Sorry but we appreciate you bringing this to our attention we shall fix the information on our website
you: what I'd expect is that you'd ask for proof of purchase and ask for my shipping address so you could send me the correct product
you: I will try this through the vendor but I'm not holding my breathe
Brandy: I apologize but we do not sell direct
Brandy: Would you like a supplier in your area?
you: no, thanks anyway