Update that may help others: The CMOS battery is definitely not a CR2032 in the XPS13 9360. It's less than half that size, is covered in black tape, and has cables connecting it to the board. I didn't have a replacement, but I did disconnect it, reconnect it, and then put everything back together once more. That required a round of BIOS updating (time, date, and downloading/installing the most recent one again from Dell). Good news! So far, the machine is now behaving the way it's supposed to. It re-awakens after going to sleep instead of only re-awakening from a full shutdown. I you don't see another comment from me to the contrary, this fixed the problem. Just to be clear, I did not replace the coin battery in any sense other than disconnecting and placing it back exactly where it was; I replaced the main battery with a new one of course. Installing a new coin battery seems a good idea though if I can find a reliable replacement.
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crwdns2944067:010crwdne2944067:0
Did you replace it with a DELL battery?
crwdns2934271:0crwdnd2934271:0 mike crwdne2934271:0
@aactech I bought the battery from Ifixit, so I assume so?
crwdns2934271:0crwdnd2934271:0 ahz crwdne2934271:0
This sounds like the computer may not actually be entering hibernation. Have you verified that the computer enters hibernation? It is possible for the computer to wake out of hibernation and drain the battery. I would check your power settings and verify, also make sure settings such as WOL (Wake on LAN) are not also causing the computer to come out of hibernation.
crwdns2934271:0crwdnd2934271:0 Joey Arthur crwdne2934271:0
If I understand what you are saying, it isn't an issue with the battery being drained. The battery has power. It happened this morning and after I plugged it in and turned it on, it was at 90%.
crwdns2934271:0crwdnd2934271:0 ahz crwdne2934271:0
@ahzidea Oh, I misunderstood. Have you attempted to run a test on your RAM using a tool such as memtest? It could be a number of things, but given the information you provided, I would personally start by testing the RAM. RAM can be responsible for a number of "unexplainable" issues. Amongst other things.
https://www.memtest86.com/memtest86.html
crwdns2934271:0crwdnd2934271:0 Joey Arthur crwdne2934271:0
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