I had taken out all of the bad shims in order to determine their size. In order to reinsert each shim, I needed to reinsert the holding tool, but in order to insert the holding tool, I needed to use the J tool. When using the J tool at the left of exhaust cam lobe #1 to get clearance to insert the holding tool to the right of exhaust cam lobe #1, 2/2 times it fell into the empty bucket and couldn't be easily removed. An alternative approach is to take out the shims one at a time, so you never use the J tool on an empty bucket. However, if you need to take your shims out to exchange for new ones, you must take them all out at once unless you'd like to make many trips to exchange them one at a time.
Mild steel is softer than tool steel. No disrespect to the guy who makes these; $29 shipped is better than the $130 I've heard the BMW OEM tools go for (if you can still buy them). I'd buy them again and recommend them to all. I'm simply providing my full experience as I hate the millions of incomplete forum posts lacking a resolution or other critical information; from my experience, other people might not need to destroy their mild steel tools. Unresolved forum posts clog up search results, waste people's time in troubleshooting, and never seem to be deleted. This is the big failure of the automotive forum.
Thank you for pointing out that I am a novice when it comes to K75s. However, this is not my first rodeo and I have years of experience in this general field. I can handle a valve adjustment. If something goes wrong, I will add it to this complete story here.