It's hard to say since there is zero information about how the simulation they mentioned was done in the footnoted article. Most likely they either screwed up the mesh or the, more likely, the turbulence modelling. It's hard to say why the Wikipedia author chose that particular article/simulation results, since the article presenting the results is very superficial. If you look at results from other simulations you can find numbers between 1.5-7 depending on the exact simulation setup.
If you read the paper linked to in the footnote to the steady flow experiment you'll see that the results are very dependent on the turbulence and Reynolds number of the liquid so how you feed the liquid into the valve (how fast and how steady) can greatly impact your results. So if the simulation and the experiment used different pressures for the water entering the system, just that could explain some of the discrepancy.