interesting question, maybe there is a ruling somewhere but straight from the definitions I would say that legally, no, a papi is not a vasi. Info below is quoted from a 2001 AIM/FAR so beware (ain't got no job, can't afford the 2003)
talking about what visual references are required to descend below DH or MDA, at least one of the following, of which part vi is one.
FAR.91.175.c.
ii. the threshold
iii. the threshold markings
v. the REILs
vi. the VISUAL APPROACH SLOPE INDICATOR
vii. the touchdown zone or TDZ markings
AIM under the pilot/controller glossary.
Airport Lighting - g. Visual Approach Slope System (VASI). An airport lighting facility providing vertical visual approach slope guidance to aircraft during approach to landing ... red and white focused beams...some airports serving large aircraft have three-bar VASIs... .
AIM under Chapter 2 - Aeronautical lighting and other airport visual aids.
2-1-2. Visual Glideslope Indicators
a. Visual Approach Slope Indicator (VASI)
b. Preciscion Approach Path Indicator (PAPI)
c. Tri-color system.
etc
So, it appears that reg 91.175 should say Visual Glideslope Indicator if it meant to include PAPIs and all the other ones. That being said, I would think a reasonable man theory would say that a PAPI is a VASI is a PAPI for runway evironment purposes. But, what is reasonable and what is legal might be different.
I would think that for a pilot, you are likely to see something else that could be used to continue the descent besides just the PAPI like thresehold lights, etc. So the whole question is really more academic unless maybe you shoot an approach to a runway with all lighting systems out but the PAPI and you land using only that, not very likely. I think I'd be looking for better weather or an airport with all the bells and whistles working. Bad weather approaches are tough enough without stacking the deck against you.