Sprockets appear fine, other than having a film of sludge on them.
And that video is about how loose mine is. If that's normal then that makes me feel a lot better.
Something else I've been thinking about.......I had a small coolant leak at the water pump, but the timing cover was also leaking. I'm wondering if coolant has been contaminating the oil and causing premature wear and sludge. It definitely wasn't enough to cause "milkshake", but it does due to the condition of the gaskets, it's highly likely that some coolant has been getting into my oil by running down and dripping in thru the timing cover gasket. I do remember a few year ago some trace amounts of coolant showed up on a used oil analysis test, but the following test showed even less so I ignored it and didn't get it tested again after that.
No way was there enough coolant or was your timing cover leaking badly enough to let that much coolant into the system to do anything. The coolant leaking was such a small amount that it just evaporated off the surface of the hot engine block.
I meant internally when I asked about coolant loss, as with a failed head gasket or cracked head or block. A couple years ago, my brother made a fast righthand turn in his '05 Sierra and lost oil pressure. I found that he had the Castech 706 head failure. It was then that he revealed that he's been having to add coolant fairly regularly, but never saw nor smelled it nor did he have a milkshake. He also said his average oil pressures have been lower and lower over the past few months. The driver side cylinder head was cracked around a head bolt and allowing coolant to mix with the oil. It was just enough to not be noticed since the water steamed off and went out with the PCV and exhaust, but the rest of the coolant's chemicals mixed with the oil and made sludge. It was darker and much thicker than what's in your timing chain slack pics. Anyway, when he made that fast turn, a hard flake of sludge, presumably from the bottom of the sump, broke free and stuck to the screen of the pickup tube, blocking the flow.
Everything inside of the block was coated in thick, sticky sludge. I scrubbed the block by hand with plastic-bristled brushes, degreaser and brake parts cleaner. Replaced all lifters, push rods, rockers, the timing set, both heads, got a high-volume oil pump (but used the lower pressure relief spring), all new gaskets, etc. It's been running strong ever since and the oil pressure exceeds 70psi at redline.
I guess my point is for comparison. Your sludge is light and thin compared to what he had. This is why I really think yours had worse sludge from whatever past issue that has been remedied, and the detergents in the oil you're using are still breaking it down. You're slowly cleaning out the entire inside of the engine. You could manually do it if you wanted, or continue as you have been. Eventually, it'll all be dissolved and drained through normal oil changes.