A known limitation of polymer micelles for the formulation of hydrophobic drugs is their low loading capacity (LC), which rarely exceeds 20 wt%. One general strategy to overcome this limitation is to increase the amphiphilic contrast, that is, to make the hydrophobic core of the micelles more hydrophobic. However, in the case of poly(2-oxazoline) (POx)-based amphiphilic triblock copolymers, a minimal amphiphilic contrast was reported to be beneficial. Here, this subject is revisited in more detail using long hydrophobic side chains that are either linear (nonyl) or branched (3-ethylheptyl). Two different backbones within the hydrophobic block are investigated, in particular POx and poly(2-oxazine) (POzi), for the solubilization and co-solubilization of the two highly water insoluble compounds, curcumin and paclitaxel. Even though high loading capacities can be achieved for curcumin using POzi-based triblock copolymers, the solubilization capacity of all investigated polymers with longer side chains is significantly lower compared to POx and poly(2-oxazine)s with shorter side chains. Although the even lower LC for paclitaxel can be somehow improved by co-formulating curcumin, this study corroborates that in the case of POx and POzi-based polymer micelles, an increased amphiphilic contrast leads to less drug solubilization.