Longing for "a better country altogether"

When we think of Hebrews 11's "hall of fame of faith," we probably most often think of the name-by-name explanations of how each Biblical figure manifested such belief. However, of late, I've been more struck by the connective-tissue-paragraphs that unite those accounts and reinforce the glories of what we possess in Jesus.

With my own emphases added, consider those sections (Hebrews 11:1-3, 13-16, 32-40) all in a row:

"Now faith means putting our full confidence in the things we hope for, it means being certain of things we cannot see. It was this kind of faith that won their reputation for the saints of old. And it is after all only by faith that our minds accept as fact that the whole scheme of time and space was created by God’s command — that the world which we can see has come into being through principles which are invisible..."

"All these whom we have mentioned maintained their faith but died without actually receiving God’s promises, though they had seen them in the distance, had hailed them as true and were quite convinced of their reality. They freely admitted that they lived on this earth as exiles and foreigners. Men who say that mean, of course, that their eyes are fixed upon their true home-land. If they had meant the particular country they had left behind, they had ample opportunity to return. No, the fact is that they longed for a better country altogether, nothing less than a heavenly one. And because of this faith of theirs, God is not ashamed to be called their God for in sober truth he has prepared for them a city in Heaven..."

"And what other examples shall I give? There is simply not time to continue by telling the stories of Gideon, Barak, Samson and Jeptha; of David, Samuel and the prophets. Through their faith these men conquered kingdoms, ruled in justice and proved the truth of God’s promises. They shut the mouths of lions, they quenched the furious blaze of fire, they escaped from death itself. From being weaklings they became strong men and mighty warriors; they routed whole armies of foreigners. Some returned to their womenfolk from certain death, while others were tortured and refused to be ransomed, because they wanted to deserve a more honourable resurrection in the world to come. Others were exposed to the test of public mockery and flogging, and to the torture of being left bound in prison. They were killed by stoning, by being sawn in two; they were tempted by specious promises of release and then were killed with the sword. Many became refugees with nothing but sheepskins or goatskins to cover them. They lost everything and yet were spurned and ill-treated by a world that was too evil to see their worth. They lived as vagrants in the desert, on the mountains, or in caves or holes in the ground.
"All these won a glowing testimony to their faith, but they did not then and there receive the fulfillment of the promise. God had something better planned for our day, and it was not his plan that they should reach perfection without us."