I dislike the premise of this article.
All the alternatives have worse disadvantages:
- repeating the name "Matt" is awkward
- gender is an awkward requirement for sending a giftcard
- assuming someone is male unless they are known to be female is awkward
- "he/she" is awkward
And, crucially:
- singular they is widely used and understood and has significant historical precedent https://en.wikipedia.org/wiki/Singular_they