Hi
To your initial question: No Rwp is not influenced by the lack of uncertainties.
However Rwp is background and noised biased. And in the PDF you sent here your noise is just high.
That is why you do not get the same low Rwp as the Ni standard. You are using a Lab instrument so it is expected that you get get worse data.
Furthermore looking at your PDF it looks like you have a fairly nanostructured/disordered sample and the Kieserite structure is just more complicated than the FCC Ni structure. Usually that makes it harder to get all the details of the PDF perfect, thus higher Rwp.
So in total if you want to lower your Rwp you need to measure better data. 3-4 hours on a lab instrument is not very long.
In this paper we measured the PDFs for something like 24 hours. Normally you would also use a measurement scheme that collects more data at high Q. So for 24 hours you would have a program that collects data for 4 hours at 0-8 Å-1, 8 hours at 8-16 Å-1 and 12 hours at 16-20 Å-1. Or something like that.
But remember if your sample is less crystalline you might need longer than that. For lab sources good data is usally measured in days and not hours.
If you measured 2-3 days you would get much lower Rwp, but likely never as low as Ni since Ni is just easier to fit.
Even for synchrotron sources and Rwp of 10-25 is common for more complicated samples.
Cheers Mikkel