Well, I see a some "possibles."
🔹 First, this:
Top Processes Snapshot by CPU:
Process (count) CPU (Source - Location)
photoanalysisd 17.46 % (Apple) ⚠️
mdworker (5) 8.44 % (Apple)
That process can go totally out of control and I am surprised to see it running at all. It really bogs down performance as higher levels. You can learn about the problem and how to deal with it here:
https://apple.stackexchange.com/questions/310594/what-is-photoanalysisd-and-why-is-it-using-77-of-my-cpu
🔹 Second, several of the crash notices flag "Memory." What brand and spec are your RAM upgrade modules?
🔹 Third. Respect EtreCheck's report of, "System modifications - There are a large number of system modifications running in the background."
See what you can live without, or at least disable temporarily for testing.
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We have the same iMac with the same hard drive specs. Your drive scores are, for all practical purposes, "on the nominals" for that class of drive. They are within 10 percent or less of scores our healthy 2011 iMac posts. The problem is that, even running at peak performance, that drive can never be fast.
👉🏻 The "external USB solid-state drive" workabout will not help on a 2011 iMac. To show any gain from that, the computer must have USB3 ports; yours was the last year Apple used USB2 ports in iMac. So that is off the table.
That leaves installing an internal SATA 6G SSD as the last option, either in the current hard drive's location or replacing the optical drive. That would produce a ~5X improvement in data transfer speeds. Neither are trivial tasks for the average end user, and the cost of professional labor to do it becomes questionable on an 11-year old computer. If you can afford US$150-175 in labor costs on top of the upgrade parts, that alters the "can I afford new?" discussion.