Hey again! No worries! If it DID say this error just prior to upgrading the OS, it usually detects other software that wouldn’t be compatible with Catalina. I know, at first at least, 32 bit software from third parties wouldn’t work, (Such as Office for example, although they’ve updated their software I believe).
Another spot to check in System Information is in Software > Applications, I believe there is a column to distinguish 32 bit software from 64 bit, but can’t check right now, but by clicking on the suspect app, I believe it shows in the section below.
This article, although older might help:
https://support.apple.com/en-us/HT208436
Hope that helps! If you get any errors upon a restart, I’d also check the Security and Privacy pane in System Preferences > General to see if there is a message, and also to check what’s automatically launching upon login in System Preferences > Users and Groups > Login Items. (You can add or remove programs here to prevent them from, or make them to open at every login), perhaps if there is an error this is one of the culprits.
Also in System Information under Software is Extensions, after a while they will load, if you click on “Obtained From” on the top right menu, (You might have to expand the window for it to show), just once, the scroll to the bottom, you’ll see all the non Apple Extensions installed, either titles “Identified Developer”, or possibly “Unsigned”, or others. If you click on one of them, the file path shows below, typically from Finder Go > Computer > Macintosh HD > Library > Extentions, but can be in other locations. Anyhow I’m particular, if you see an “Unsigned” Extention, and having software issues, and have a backup, (Or just recognize the name and don’t want it anymore), you can delete them from that location).
Otherwise if all is working fine, I wouldn’t worry about it!
Hope that helps out!