So when I'm sculpting with the multi-resolution modifier, the changes I make change when I'm scrolling through to look at it from a better perspective (the middle mouse button and rotating it). The tutorial I was following didn't have such a case. Is that expected?
This is the Fast Navigate option.
For multiresolution models, shows low resolution while navigating in the viewport.
It is a viewport optimization, which is useful if your high poly model is slowing down Blender. To disable it, go to the Tool Options in sculpt mode, then navigate to the Options section and disable Fast Navigate.