Use Add if you want to make all explicit with a little bit more work. Use AddWithValue if you are lazy. AddWithValue will derive the type of the parameter of its value, so ensure that it’s the correct type. You should, for example, parse a string to int if that is the correct type.
There is one reason to avoid Add: if your parameter type is int you must be careful with the overload that takes the parameter-name and an object since then another overload is chosen with the SqlDbType-enum.
From remarks (method overload is even obsolete now):
Use caution when you are using this overload of the
SqlParameterCollection.Addmethod to specify integer parameter values.
Because this overload takes a value of type Object, you must convert
the integral value to an Object type when the value is zero
… If you do not perform this conversion, the
compiler assumes that you are trying to call the
SqlParameterCollection.Add(string, SqlDbType)overload.