Output voltage accuracy vs output ripple of a linear regulator
There are three contributors to output ripple on an LDO. Those are the line regulation, the load regulation, and regulator noise.
Assuming your load draws a reasonably constant current, the ripple due to this should be negligible. No practical LDO will have a noise approaching 50 mV. If you were worried about 50 uV then you may have to do some digging in datasheets.
What's the input ripple to the regulator? This can be reduced with larger input reservoir capacitors if required. This is now reduced by the line regulation of the LDO. For any reasonable LDO and input ripple, your output ripple will be waaay below 50 mV.
The 2% voltage accuracy is a DC specification, and does not contribute to ripple.