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It has no more weight than that.

Rock is a Name of God (emphasis mine).

Moreover, brethren, I would not that ye should be ignorant, how that all our fathers were under the cloud, and all passed through the sea; And were all baptized unto Moses in the cloud and in the sea; And did all eat the same spiritual meat; And did all drink the same spiritual drink: for they drank of that spiritual Rock that followed them: and that Rock was Christ. – 1 Cor 10:1-4

And from the Song of Moses:

Give ear, O ye heavens, and I will speak; and hear, O earth, the words of my mouth. My doctrine shall drop as the rain, my speech shall distil as the dew, as the small rain upon the tender herb, and as the showers upon the grass: Because I will publish the name of the LORD: ascribe ye greatness unto our God. [He is] the Rock, his work [is] perfect: for all his ways [are] judgment: a God of truth and without iniquity, just and right [is] he. – Deu 32:1-4

Abraham and Peter were both called rock I suspect because they were both "first called" of God.

And Jesus answered and said unto him, Blessed art thou, Simon Barjona: for flesh and blood hath not revealed [it] unto thee, but my Father which is in heaven. And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it. – Matt 16:17-18

Hearken to me, ye that follow after righteousness, ye that seek the LORD: look unto the rock [whence] ye are hewn, and to the hole of the pit [whence] ye are digged. Look unto Abraham your father, and unto Sarah [that] bare you: for I called him alone, and blessed him, and increased him. – Isaiah 51:1-2

To God be the glory, not man, never man.