That's close. Nursery said it was silver plectranthus. Is that the same thing?

Not the same thing but very close , same family

Silver is (plectranthus argentatus)

Your plant looks like it has a larger scalloped edge so I said amboinicus
But I would take their word for it , because they should know what they are growing.

I looked them both up, and i think you're right
Mine has rounder leaves, and is vinelike