Not it won't, your SO will notice the smell after a session, but with proper ventilation it will be quickly gone. But the coating of the weight may smell very

Not it won't, your SO will notice the smell after a session, but with proper ventilation it will be quickly gone. But the coating of the weight may smell very bad, it depends on the material : un-coated plates won't smell, but will make lot of noise when stacked together and will easily put a dent in a wooden floor rubber coated plates are silent, but will smell horrible for months, depending on the storage where you brought it, I had to clean mine 3 times with lots of recipes, and put it on the balcony for weeks, and even now I still notice a smell in the room. I would go for urethane plates, won't smell and are silent.