Hole diameter precision is mostly about procedure and tool runout and not really about CNC performance. You will not get 0.0001" with a boring head. Reaming may get it if you're good.
The positional tolerance on the holes will dictate CNC precision and repeatability requirement and the size of the hole will dictate the machine stiffness/size requirement.
The biggest problem with a low-end machine with regard to predicting performance is the variability between machines, no two come of the production line the same. Does the Syril come with a test cert. At least you would be able to return it if it doesn't meet expectations.
Just some thoughts from a novice.