Florentino would negotiate differently with PSG, because Liverpool is indeed a friendly club.
Real Madrid intends to sell Rodrygo this summer, but no offer has yet been received. It's true that the player's entourage has spoken with several clubs, but no agreement has been reached. There are still four weeks left, during which Liverpool and PSG could enter the fray.
Real Madrid would agree to sell Rodrygo to Liverpool for 80 million euros, but with PSG as their rivals, there's no room for negotiation or much bargaining to do. The French club won't be offered anything less than the 100 million euros; it's a fair figure. "It's that or nothing," people at the Bernabéu are saying regarding a possible offer from Paris Saint-Germain.
It's not entirely clear that PSG will pursue Rodrygo's signing, but it is a possibility on the table. Barcola could leave for Liverpool if they don't manage to sign Isak, and that would make it easier for the Parisian side to pursue the Brazilian. It's an option he wouldn't mind at all, because they also have a truly great team.