Yes, the type of surgery should definitely influence your gift choice. For example, if he's recovering from abdominal or chest surgery, a blanket to support and protect the incision area when coughing or moving can be beneficial. For someone who had surgery on the legs or feet, gifts that can be enjoyed in a stationary position, such as books or games, may be more appropriate. Tailoring the gift to his specific recovery needs will show thoughtfulness and consideration.