In this study, in terms of the intrinsic Hausdorff measures, we characterize the size of removable sets for Hölder continuous solutions to elliptic equations with Musielak–Orlicz growth. In the general case, we provide a result on a new scale that is more relevant and that captures the classical results as special cases. The results slightly refine the known ones provided for problems stated in the variable exponent and double phase spaces and they essentially improve the one known in the Orlicz case.