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Weak quotes you cite obfuscate stronger quotes you skip.

GEORGIA (not just Harper’s Ferry):

For twenty years past the abolitionists and their allies in the Northern States have been engaged in constant efforts to subvert our institutions and to excite insurrection and servile war among us. They have sent emissaries among us for the accomplishment of these purposes. Some of these efforts have received the public sanction of a majority of the leading men of the Republican party in the national councils, the same men who are now proposed as our rulers. [then the Harper’s Ferry reference as an “invasion”]

Because by their declared principles and policy they have outlawed $3,000,000,000 of our property in the common territories of the Union; put it under the ban of the Republic in the States where it exists and out of the protection of Federal law everywhere; because they give sanctuary to thieves and incendiaries who assail it to the whole extent of their power...

MISSISSIPPI:

The hostility to this institution...

It has grown until it denies the right of property in slaves, and refuses protection to that right on the high seas, in the Territories, and wherever the government of the United States had jurisdiction...

It advocates negro equality, socially and politically, and promotes insurrection and incendiarism in our midst...

It has made combinations and formed associations to carry out its schemes of emancipation in the States and wherever else slavery exists...

[You missed Mississippi’s reference to Harper’s Ferry:]

It has invaded a State, and invested with the honors of martyrdom the wretch whose purpose was to apply flames to our dwellings, and the weapons of destruction to our lives.

SOUTH CAROLINA (Maybe you missed the word “eloign”.)

Those States have assume [sic] the right of deciding upon the propriety of our domestic institutions; and have denied the rights of property established in fifteen of the States and recognized by the Constitution; they have denounced as sinful the institution of slavery; they have permitted open establishment among them of societies, whose avowed object is to ***disturb the peace and to eloign the property of the citizens*** of other States. They have encouraged and ***assisted thousands of our slaves to leave their homes***; and ***those who remain, have been incited by emissaries***, books and pictures to servile insurrection.

TEXAS:

For years past this abolition organization has been actively sowing the seeds of discord through the Union...

They have for years past encouraged and sustained lawless organizations to steal our slaves and prevent their recapture, and have repeatedly murdered Southern citizens while lawfully seeking their rendition. [”steal our slaves” does not only mean giving them refuge after escaping as you say]

They have invaded Southern soil [Harper’s Ferry, but you left out the next 2 paragraphs which are more than HF]...

They have, through the mails and hired emissaries, sent seditious pamphlets and papers among us to stir up servile insurrection and bring blood and carnage to our firesides.

They have sent hired emissaries among us to burn our towns and distribute arms and poison to our slaves for the same purpose.

USOTOS: "Weak quotes you cite obfuscate stronger quotes you skip."

Weak?
No, your words were "steal, rob and murder" referring to "abolitionists who were coming south on pretenses to free slaves by force."
This, you said, "was listed as a primary grievance in most declarations of secession."

I merely pointed out, accurately, that none of those three words, "steal, rob and murder", were used in any of the four "Reasons for Secession" documents to refer to "abolitionists who were coming south on pretenses to free slaves by force."

USOTOS quoting Texas Reasons: "They have for years past encouraged and sustained lawless organizations to steal our slaves and prevent their recapture, and have repeatedly murdered Southern citizens while lawfully seeking their rendition. [”steal our slaves” does not only mean giving them refuge after escaping as you say]"

You're right, I overlooked the word "steal" in focusing on the meaning of "murdered Southern citizens".
Here "Southern citizens" refers to slave-catchers in Northern states trying to return fugitives to their Southern "owners".
As to who, exactly, was working to "steal our slaves", the complaint only mentions "lawless organizations" not, in your words, "abolitionists who were coming south on pretenses to free slaves by force."

In summary:

The word "rob" does not appear in any of the original "Reasons for Secession" documents.
The word "steal" does appear once, in the Texas Reasons, referring to unspecified "lawless organizations".
The word "murder" appears six times -- three in reference to John Brown, two to slave-catchers in Northern states and once to Mexican "banditti," not once to "abolitionists who were coming south on pretenses to free slaves by force."

Regardless, you are absolutely correct that protecting slavery was a very important matter to those who declared secession in late 1860 and early 1861.