Unclogs toilets, sure. Magically makes things that should never be in the toilet in the first place go away, no. Paper towels don't break down. The only way is to remove them with some sort of mechanical device or vaccuum. Even if you manage to push them through, they will continue to cause problems further down the line.

If someone tried to save a couple dollars building a car and made one that you had to open the hood and disconnect the battery every time you were going to leave it parked overnight in order to prevent it from catching fire, that would be a car that's unsafe, the sale of which would never be allowed. If something has to be plugged in for hours, it needs to be safe to leave it plugged in for hours. Regardless of exactly when it stops charging. It's not that hard for manufacturers to build a battery and/or charging system that will shut off when it needs to so that it is safe.

The definition of safe for the general public for a given product may take a sentence or a book, but that's up to manufacturers and/or regulators to figure out and adjust for real world conditions. Clearly that's not happening.

That's on the manufacturer and/or regulators. A thing that needs to be plugged in in order to charge is never going to be perfectly babysat in the best of situations, and if it's a tool that people use everyday it's definitely got to be built so that it is safe if left plugged in for a month or if left unplugged and discharged for a month. If you can't get that worked out, you don't have a product that's safe to sell to the general public.

The stud on the left goes up to the top plate and should be kept. The cripple in the middle is holding up the header which may still be doing something, keep that too. The second cripple on the right is unnecessary. You can remove it or any section of it.