This suggestion appealed to me, in fact, and it is not considered contrary to dignified conduct, as the poet said: (1)

When hands are stretched toward the food, I am not
The quickest of them—for the greediest are the quickest.

For once it becomes an established custom, it is no longer greed.

His statement: “He should accompany his guest to the door of the house,” meaning that this is recommended. This too depends on custom: if the guest is someone whom one considers deserving of being accompanied to the door, then one should do so; otherwise, there is no need.

His statement: “It is good for him to take hold of his mount’s stirrup.” This applies when the guest arrives on a camel: he takes hold of its stirrup to make mounting easier for him. Nowadays, he opens the car door for him.

His statement: “The guest—rather, everyone—should be humble in his gathering.” The opposite of humility is of two kinds:

First: arrogance. This is prohibited; indeed, it is among the major sins. Allah, Exalted is He, says:

“And do not turn your cheek away from people in contempt, nor walk upon the earth exultantly.” [Luqman: 18]

Second: that a person is neither arrogant nor humble, but simply natural. This is permissible, though it is better for him to be humble.

Is it part of humility to offer meat to one’s fellow diner, as some people do?

This too goes back to customary practice. If the custom is that this is an expression of humility and hospitality, then do it; otherwise, do not. Likewise, if the person dining with you says, “Stop doing this,” then do not embarrass him; let him take as he wishes.