This game came out before TOPS. The setting in question (Adjustment 41) cannot run a tops tournament. All Sharkey's came from Stern with a tournament button. As far as I have seen, it can't be used in any way at all.
The tournament setting choices are: IFPA, PAPA, EXPO, HOME or None. However, only NONE will allow you you start a game.
Those have nothing to do with a TOPS tournament. TOPS was designed to be a separate section of the "Portals menu system".
I did find an additional adjustment in the manual (#52) for “tournament button” ON or OFF, but it is not there in the menu choices! So, initially, I thought it would not appear if the tournament board is not installed...
HOWEVER, according to this, the TOPS kit isn't even compatible with Sharkey's:
https://www.marcospecialties.com/pinball-parts/502-5011-00
That makes sense since the game was released well before a TOPS kit existed.
Also, technical information about the varies revisions of the Stern Whitest MPU indicate that only the "G" revision of the board will work with TOPS kits:
http://www.pinballsupernova.com/images/Sega_Stern%20White%20Star%20Repair%20-%20PinWiki.pdf