Basically just think of a piece of bar stock of a given thickness and width and then imagine overlaying that bar stock with angles. Same angle on two different bars results in different visual appearance of the grind despite the grind angle being the same. That's why the numbers matter more than the height of the grind.
However, your stock thickness and width do have a limiting effect on the thinnest angle you can produce on that piece of stock without grinding into (and, as a result, reducing) the spine thickness. Reduce your stock thickness and/or increase your stock width and you can use a lower grind angle than you can with thicker and/or narrower stock. But because spine thickness has a large impact on rigidity (rigidity increases cubically with thickness--a small addition makes a big difference) your desired spine thickness should be taken into account as well when deciding on appropriate dimensions.