I don’t care if they float or not.
I soak all my seeds in a shotglass of water with 1ml h2o2 around ~77 F until they pop 1/8" long tail. Then they go straight into a pot.
I’ve tried soaking for 24hrs or until they sink, then paper towels and what have you. Tried all the methods really. I’ve found, letting them sit in the glass until there’s a root and then planting, to be the most effective for my environment.
Sometimes it takes a day, sometimes it takes a week, but the only seeds that didn’t pop were dead and black on the inside from the start. Every single other seed has popped and grown a plant.