Why, could you explain the reasoning. For example, on F-20 all the weight forwards of the wing need to be transferred back to the wing where lift is generated. Whereas on the J-20 the canard can generate some lift, reducing the amount of load that needs to be transferred back.I reckon J-20's is probably around the end of the weapons bays or between them and the front section of engines. But he is right that the structure absolutely would require beefing up in order to carry those forces to desired locations and this would be designed with a particular desired CoG of design. So he's not wrong in saying that the engineers would have needed to find ways to appropriately support this particular design and that usually would involve some weight penalties although honestly this probably isn't significant at all to the point of not worth mentioning except to say that it is certainly required.
The only scenario that I can think that canard is detrimental to the structural load is when you have the front roll in CW and rear roll CCW or vice versa. But this seems like a stupid configuration to be in. You are more likely wanting the front and rear to roll in the same direction, in that case the canard would reduce the amount of torsion the chassis need to handle.
Think of it this way, if you hold a piece of paper on one end, you will see large deflection, whereas if you hold both ends, it will not bend as much.