While combining multiple cheeses can enhance the flavor profile and texture of a grilled cheese sandwich, there are some potential drawbacks to consider. One limitation is that certain cheeses may not melt at the same rate or consistency when mixed together, leading to uneven melting and potentially affecting the overall mouthfeel of the sandwich. Additionally, using too many different types of cheeses could result in overwhelming flavors that mask each other instead of complementing one another harmoniously. It's essential to strike a balance between variety and cohesion when incorporating multiple cheeses into a grilled cheese creation.