[Relative Standard Deviation (%)] Question on Suitability

#1
This may be a naïve question but I have read in several sources (example) that calculating the relative standard deviation is unreliable if the mean is close to zero.

My questions are:
1.)
How close should the mean be to zero before RSD(%) becomes unreliable for expressing statistical spread?
2.) Would RSD % be suitable for a set of data such as the one shown below:

Suppose my replicate values are as follows (n = 12):
Data points: 0.1223, 0.1251, 0.1302, 0.1287, 0.1211, 0.1195, 0.1338, 0.1240, 0.1263, 0.1252, 0.1279, 0.1216

Sample mean: 0.1255
Sample standard deviation: 0.00416
Skewness: 0.5134
Kurtosis: -0.1534
D'Agostino & Pearson omnibus normality test (alpha = 0.05)? Passed? Yes

Relative standard deviation: 3.32%

Thank you!
 
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#2
I think I've figured out an answer to one of my question - question 2. Since I have no negative values, my mean does not lie "close to zero", in layman's terms so to speak so calculating RSD is acceptable in this case. I still haven't found any answers to question 1 during my search.