Since you're asking personal medical questions, my blood pressure/blood tests are all nominal, my RHR is ~55, and I eat a high-protein vegetarian diet, with the primary protein sources being skim greek yogurt, whey powder, eggs, tofu, edamame, and seitan. Besides that I mostly eat vegetables and noodles.
Well, they'll gain weight; whether that's muscle or fat -- and thus whether it contributes to obesity by the more significant adiposity-based standards rather than the less-meaningful BMI-based standards -- depends on other factors than whether they are consuming more calories than their TDEE.
Please post the actual numbers, as "nominal" levels in a society where it is normal to die from cardiovascular disease, for example, are not a good representation of optimal health.