Power PS user here converting to Affinity Photo for the last 5 months. I was just about ready to cancel my ps subscription and then ran into this exact issue. I don't know what the confusion is here. In PS, if you select the brush tool, hold the shift key, and then click and drag, the stroke will be constrained to either horizontal or vertical depending on which direction you start to drag. It seems trivial but if you've used and become accustomed to this behavior it is very useful. For instance. I frequently need to draw a horizontal line on both sides of a specific location. With this tool I can click and drag left first and then back trace to the right to extend the line to the right. I am trying to do exactly this right now on a drawing and I've spent 15 minutes trying to do it unsuccessfully when it took me 1 second in PS. I can't even snap the brush tool to a guide (which would be an acceptable option).