Sorry I am not understanding the question . What is the quartzite and where is it going? Ask where you are buying the florim. Many old homes had cast iron tubs which were really heavy no big issues so I can't think why the floors and swoer walls would be an issue. Get thinner counter if you are concerned . I do not know what the vanity looks like but that weight is speread over a certain space .Do you have 35sq ft of vanity on 2 legs Maybe post some pics .

Lol. No plastic strip flooring anywhere. But I guess that would be water resistant? Florim is porcelain. I've given up on it already. Locally, people know how to put it on vanities and walls-not floors. 

Intending to go with 48x48" porcelain tiles for the floors and walls at the moment. The current struggle is picking a tile that compliments the stone/vanity top. For a while I've been circling the happy feet Athena line (white and beige options pictured). Additionally, purchased the waterworks bond solo, some axor pieces, and knockoff Murano amber glass, deco lights to be used as pendant sconces, for what it's worth. 

In terms of the weight of the stone, planning to beef up the wall and keep everything wall hung. 

Thank you in advance