Hebrews & Peter do claim that the covenants are fulfilled in & by the Lord Jesus Christ. We need have no fear of Abraham & David accusing God of lying with respect to the covenants when they see their Seed, Jesus & all nations being blessed.
Heb. 8:1 Now this is the main point of the things we are saying: We have such a High Priest, who is seated at the right hand of the throne of the Majesty in the heavens, 2 a Minister of the sanctuary and of the true tabernacle which the Lord erected, and not man.
3 For every high priest is appointed to offer both gifts and sacrifices. Therefore it is necessary that this One also have something to offer. 4 For if He were on earth, He would not be a priest, since there are priests who offer the gifts according to the law; 5 who serve the copy and shadow of the heavenly things, as Moses was divinely instructed when he was about to make the tabernacle. For He said, “See that you make all things according to the pattern shown you on the mountain.” 6 But now He has obtained a more excellent ministry, inasmuch as He is also Mediator of a better covenant, which was established on better promises.
Trouble is, the old covenant, with wonderful promises was powerless because of sin. Abraham & David - & you & I - need a perfect One to keep the terms of the covenant. That's where Jesus comes in -
13 In that He says, “A new covenant,” He has made the first obsolete. Now what is becoming obsolete and growing old is ready to vanish away.
Heb. 13:20 Now may the God of peace who brought up our Lord Jesus from the dead, that great Shepherd of the sheep, through the blood of the everlasting covenant, 21 make you complete in every good work to do His will, working in you what is well pleasing in His sight, through Jesus Christ, to whom be glory forever and ever. Amen.
If you read Heb. 11, you will see whether the Patriarchs expected earthly fulfilment of the covenant promises -
13 These all died in faith, not having received the promises, but having seen them afar off were assured of them,embraced them and confessed that they were strangers and pilgrims on the earth. 14 For those who say such things declare plainly that they seek a homeland. 15 And truly if they had called to mind that country from which they had come out, they would have had opportunity to return. 16 But now they desire a better, that is, a heavenly country. Therefore God is not ashamed to be called their God, for He has prepared a city for them.
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39 And all these, having obtained a good testimony through faith, did not receive the promise, 40 God having provided something better for us, that they should not be made perfect apart from us.
The fact that abraham gets to have heaven too doesn't negate that he gets earth. It says this no where in the text. That is you reading into the text.
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