I have the same MacBook Pro series but one year newer. Very little actual speed difference from your in use, and the logic board architecture is nearly the same. Data is always good: here are some app launch times I measured numerous times as I upgraded.
App launch time data from my 2012 MacBook Pro 13 non-Retina:
Base system as shipped:
4GB RAM and slow SATA 3GBps 5400rpm hard drive: Office and Photoshop Elements took 15-18 seconds to be ready to use.
First upgrade, RAM:
8GB RAM and slow SATA 3GBps 5400rpm hard drive: Office and Photoshop Elements took 15-18 seconds to be ready to use.
Second upgrade, inexpensive solid-state drive
8GB RAM and fast SATA 6GBps SSD: Office and Photoshop Elements take under 4 seconds to be ready to use.
The difference with the SSD is stunning. I've used much newer Macs since adding the SSD and there is not a lot of perceived speed difference in actual use. I had begun to avoid the old MBP due to the slow launching, but now I use it much of the time, and enjoy doing so.
I saw a couple of other things in the report that are potential slow-downs.
Configuration Files:
/etc/hosts - Count: 15
Please see this User Tip to learn what these are and how to deal with them:
Fixing a hacked /etc/hosts file - Apple Community
And:
DivX Web Player: 3.2.1.977 (? - installed 2014-06-11)
2014 is the Late Cretaceous in computer years. There is emerging evidence that old versions of DivX can play poorly with newer macOS versions. If Mom uses it, update it to current. If not, send it packing.
I would very much like to know what one of these is:
Top Processes Snapshot by CPU:
Process (count) CPU (Source - Location)
Other processes 64.63 % (?) <<<<<
trustd 20.37 % (Apple)
EtreCheck 4.83 % (App Store)
Google Chrome 0.68 % (Google, Inc.)
SystemUIServer 0.15 % (Apple)
I think you need a newer version of macOS to see the EtreCheck readout of the diagnostic log, and you cannot upgrade that model any higher. "Other processes" may show up with Activity Monitor, already on your computer. Please see this Apple article on how to use Activity Monitor (AM) to find apps and processes that are using more than their share of resources:
See how apps affect Mac performance, battery runtime, temperature, and fan activity - Apple Support
A couple of notes on this article:
1) Step 1 is vitally important to getting a representative view of the processes at play
2) The display is dynamic, changing every few seconds. You will need to watch the display for 20-30 seconds, looking for any app or processing that keeps "bubbling" to the top of the list as a resource hog. Write down the process name, as a screen shot of AM's constantly changing window is ineffective here about 90 percent of the time