His Holiness, like most people who value human relationships over tradition, will eat meat if it is served to him in good faith.
Since I follow the same principles, here is an example. I come to your house for dinner. You do not know that I am a Buddhist and vegetarian. You serve me a steak. Because I value your personal comfort and friendship more than a beef that has already been killed, and that was not killed for my personal benefit, I will eat (and enjoy) the steak.
If, however, you knew of my preferences and served meat anyway, I might or might not be offended depending on the circumstances, but I would pass on the steak. Like most things, it's a matter of intent — and the Middle Way. There is no need to be extreme; it gains nothing, and causes unhappiness.