Unfortunately the original poster is correct, and SEB isn't quite right.
On different OS's, processing scheduling priority can work differently.
On Windows, for example, processes with higher priority are able to exclude processes with lower priority if they ask for enough CPU. eg on a four-core system, 4 CPU-bound processes (or threads) running at "Normal" priority can completely exclude a "Below Normal" or "Low" priority CPU-bound process, but the "Low" priority process can get 100% of the CPU if nobody else wants it. I like this behavior because I can run a CPU-bound process in "Low" priority and I won't even notice it's there so long as all my other (interactive) processes run at "Normal" priority. (Assuming none of the processes eat too much RAM---that's a different story).
On all Unix systems I've worked with (including Linux), the only "priority" scheme available is the "nice" value, and it's less Draconian than the system on Windows: processes with high "nice" value can get 100% of the CPU is nothing else is using the CPU, but they will get progressively less CPU with higher niceness, but they will never be entirely excluded. For example in my experience, if I have a 4-core system and 8 CPU-bound processes, then each gets almost exactly 50% of one core if they're all at the same nice value. If, however, 4 are non-niced and 4 are niced, then the "nice'd" ones will get less and less CPU with higher and higher niceness, but they'll never be completely excluded: even at the maximum nice value of 19 (or 20 on some systems), they'll still get at least 30-40% of each core, with the non-niced ones getting about 60-70%, on average. This is different from Windows, but still reasonable.
On the other hand, so far as I can tell, on MacOS "nice" does ABSOLUTELY NOTHING. I have a 4-core Mac, and if I run 8 processes as above with half of them niced... there is absolutely no difference in the amount of CPU each of them gets. This is stupid. MacOS has completely botched it here, even though they have a "nice" program, even though the OS tells us what the nice value is ("ps -l"). In my opinion, they should either be honest and remove the functionality altogether, or add functionality so that the "nice" value actually means someething.
Note: I would be ecstatic if somebody could point out how I'm wrong, and show me if there is a way to actually reduce the CPU priority of processes I want to run in the background.