They may indeed say that,
However, if you look at section 3.3 for the Terms and Conditions of Sale for Home Match Tickets you will find this text:
In the event that you and/or your Guest are unable to use any Home Match Ticket then you may transfer that Home Match Ticket(s) to a natural person who is known to you personally who would be entitled (under the Terms & Conditions of Entry) to purchase such Home Match Ticket and attend such Match PROVIDED THAT such transfer takes place in consideration of no payment or benefit in excess of the face value of the Home Match Ticket, and such transfer does not take place in the course of any business or for the purpose of facilitating any third party's business. Such transfer will be subject to the Terms & Conditions of Entry which will (save for any rights to transfer under this clause or any rights to a refund under clause 4.3) apply to the transferee as if he were the original purchaser of the Home Match Ticket (and you must inform the transferee of this). You will provide the name and address of the transferee when asked to do so by any official, steward or employee of the Club or any police officer.
So you can give your ticket to someone else provided you know them, they aren't banned and they pay you no more than the face value. I don't understand how that is compatible with the text you quote above, but then I'm no lawyer.
There is similar text for Season Tickets, with the added phrase of 'Club consent', i.e. "You may only sell or transfer the Season Ticket to a Guest with the express written consent of the Club given at the Club's absolute discretion, provided that such sale or transfer is in respect of an individual Match and in consideration of no payment or benefit in excess of the face value of a ticket to that Match ...............etc "
Oh dear, my cyborg brother will be very disappointed.