That's a good point. it's probably a 100 dollar watch in working order. I think I gave 10 for it for practice. I had it partly apart and then go intimidated by the gears and small parts. when I put it back together and tilt it to a 30 degree angle it will tick. lol heck it didn't do that before so i'll take that as a half point win.
A staking tool is used for riveting types of operations, you whack a punch with a small hammer, and voila! You don't really want to do that when removing, inserting, or adjusting jewels. So a jeweling tool is made to smoothly push jewels, and to do that accurately.
Some staking sets have jeweling attachments that allow you to do both things, but people often find that it is worth it to have a specialized tool for jeweling work.