We present a theory of hairy gel with variable thermodynamic rigidities of bottlebrush strand backbone and side chains. Scaling arguments allow for renormalization of bottlebrush strand with long backbone in linear chain of impermeable subunits -superblobs. Application of de Genne's c*-star theorem allows for power law dependences of swelling coefficint Q and osmotic modulus G of hairy gel in hollow mesh regime. A filled mesh regime predicted for hairy gels with short backbones, is described as semi-dilute solution of side chains. We construct scaling-type diagrams of states to delineate different regimes of hairy gel behavior, and demonstrate how scaling dependences for Q and G change upon (i) increasing stiffness of backbone and/or side chains, and (ii) inferior solvent strength from athermal to theta solvent. The predictions of scaling model are contrasted against computer simulations and experiments.