So, better never than late, I finally made the test, and unfortunately here's the message that pops up when I double click on the monitor icon:

Nothing fancy in the tooltype configuration, I made it only point to the Mediator.card found in the P96 archive with following line:
BOARDTYPE=Mediator
From SnoopDos output, it seems to me that the Voodoo is correctly detected, but for some unknown reason P96 fails to properly start its driver:
- Count Process Name Action Target Name Options Res.
- ----- ------------ ------ ----------- ------- ----
- [...]
- 26 [12] DO_LAUNCHER Load VoodooP96 OK
- 27 VoodooP96 Open CON:0/0/640/120/Picasso96/AUTO/CLOSE/WAIT Write OK
- 28 CON FindSem NSDPatch (8.3.2002) OK
- 29 CON FindSem NSDPatch (8.3.2002) OK
- 30 CON FindSem NSDPatch (8.3.2002) OK
- 31 CON FindSem NSDPatch (8.3.2002) OK
- 32 CON FindSem NSDPatch (8.3.2002) OK
- 33 CON FindSem NSDPatch (8.3.2002) OK
- 34 VoodooP96 OpenRes draco.resource Fail
- 35 VoodooP96 OpenLib icon.library Ver 37 OK
- 36 VoodooP96 OpenLib cybergraphics.library Ver 41 Fail
- 37 [12] DO_LAUNCHER ChangeDir WorkBench:DEVS
- 38 [12] DO_LAUNCHER ChangeDir WorkBench:
- 39 ramlib Load LIBS:cybergraphics.library Fail
- 40 ramlib Open LIBS:cybergraphics.library Read Fail
- 41 VoodooP96 FindPort Directory Opus OK
- 42 VoodooP96 OpenLib picasso96/rtg.library Ver 40 OK
- 43 ramlib Load LIBS:picasso96/rtg.library OK
- 44 ramlib OpenLib graphics.library Ver 39 OK
- 45 ramlib OpenLib intuition.library Ver 39 OK
- 46 ramlib OpenLib iffparse.library Ver 37 OK
- 47 ramlib OpenLib utility.library Ver 39 OK
- 48 ramlib OpenLib icon.library Ver 39 OK
- 49 ramlib OpenLib cybergraphics.library Ver 41 Fail
- 50 ramlib Load LIBS:cybergraphics.library Fail
- 51 ramlib Open LIBS:cybergraphics.library Read Fail
- 52 ramlib Load cybergraphics.library Fail
- 53 ramlib Open cybergraphics.library Read Fail
- 54 ramlib FindPort Directory Opus OK
- 55 ramlib OpenLib layers.library Ver 39 OK
- 56 ramlib OpenRes dracomouse.resource Fail
- 57 Picasso96 Lock ENV:Picasso96/AmigaVideo Read OK
- 58 Picasso96 Open ENV:Picasso96/AmigaVideo Read OK
- 59 Picasso96 Lock ENV:Picasso96/Debug Read OK
- 60 Picasso96 Open ENV:Picasso96/Debug Read OK
- 61 Picasso96 Lock ENV:Picasso96/BlackSwitching Read OK
- 62 Picasso96 Open ENV:Picasso96/BlackSwitching Read OK
- 63 Picasso96 Lock ENV:Picasso96/DirectColorMask Read OK
- 64 Picasso96 Open ENV:Picasso96/DirectColorMask Read OK
- 65 Picasso96 Lock ENV:Picasso96/DoNotSetMMU Read OK
- 66 Picasso96 Open ENV:Picasso96/DoNotSetMMU Read OK
- 67 Picasso96 OpenLib mmu.library Ver 0 OK
- 68 Picasso96 Lock ENV:Picasso96/ShowModes Read OK
- 69 Picasso96 Open ENV:Picasso96/ShowModes Read OK
- 70 Picasso96 Lock ENV:Picasso96/PlanarOnlyDIPFDBUF Read OK
- 71 VoodooP96 ChangeDir WorkBench:DEVS
- 72 VoodooP96 Open VoodooP96 .info Read OK
- 73 Picasso96 Open ENV:Picasso96/PlanarOnlyDIPFDBUF Read OK
- 74 Picasso96 Lock ENV:Picasso96/DisableAmigaBlitter Read OK
- 75 VoodooP96 ToolType QUIET Fail
- 76 VoodooP96 OpenLib mmu.library Ver 0 OK
- 77 VoodooP96 ToolType BOARDTYPE OK
- 78 VoodooP96 ToolType SETTINGSFILE OK
- 79 VoodooP96 ToolType MEMORYCLOCK Fail
- 80 VoodooP96 ToolType SOFTSPRITE Fail
- 81 VoodooP96 ToolType BIGSPRITE Fail
- 82 VoodooP96 ToolType BORDERBLANK Fail
- 83 VoodooP96 ToolType DISPLAYCHAIN Fail
- 84 VoodooP96 ToolType IGNOREMASK OK
- 85 VoodooP96 ToolType NOPLANAR2CHUNKYBLITS Fail
- 86 VoodooP96 ToolType NOBLITTER Fail
- 87 VoodooP96 ToolType SYSTEM2SCREENBLITS Fail
- 88 VoodooP96 ToolType QUIET Fail
- 89 VoodooP96 ToolType OVERCLOCK Fail
- 90 VoodooP96 ToolType GRANTDIRECTACCESS Fail
- 91 VoodooP96 ToolType FAKENATIVEMODES Fail
- 92 VoodooP96 Load LIBS:picasso96/Mediator.card OK
- 93 Picasso96 Open ENV:Picasso96/DisableAmigaBlitter Read OK
- 94 Picasso96 Lock ENV:Picasso96/PlanesToFast Read OK
- 95 VoodooP96 OpenLib Mediator.card Ver 0 OK
- 96 VoodooP96 OpenLib pci.library Ver 1 OK
- 97 VoodooP96 OpenLib picasso96/3dfxVoodoo.chip Ver 8 Fail
- 98 Picasso96 Open ENV:Picasso96/PlanesToFast Read OK
- 99 ramlib Load LIBS:picasso96/3dfxVoodoo.chip OK
- 100 Picasso96 Lock ENV:Picasso96/Experimental Read OK
- 101 Picasso96 Open ENV:Picasso96/Experimental Read OK
- 102 Picasso96 Lock ENV:Picasso96/EnableBootVGA Read OK
- 103 CON OpenFont XEN.font Size 11 OK
- 104 CON FindSem NSDPatch (8.3.2002) OK
- 105 Picasso96 Open ENV:Picasso96/EnableBootVGA Read OK
- 106 Picasso96 Lock ENV:Picasso96/AlertSupport Read Fail
- 107 Picasso96 Lock ENV:Picasso96/AreaEndSupport Read Fail
- 108 Picasso96 Lock ENV:Picasso96/PreferFriends Read Fail
- 109 dopus_lister Lock DH0:DEVS/ Read OK
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