If you check out the $\mathrm{p}K_\mathrm{a}$ values of paracetamol (acetaminophen) , it is 9.38 while pKa$\mathrm pK_\mathrm a$ of para-methoxybenzene is 10.1.
So, $\ce{-OR}$ should exert a greater mesomeric effect as compared to $\ce{-NHCOCH_3}$$\ce{-NHCOR}$ making the wikipedia wrong.
References: