That's the part I wasn't so sure of but a bit of research shows that you are right. The word "abolition" seems to have been originally used both for the abolition of slavery generally and also for the abolition of the slave trade specifically.
From the OED "Abolition":
[1773 Pennsylvania Gaz. 13 Jan. 4/1 Some Regulations that have taken Place in the Spanish Colonies, which..are certainly worthy our Imitation, in case we should not be so happy as to obtain an entire Abolition of Slavery.]
1785 G. Gregory Ess. Hist. & Moral 320 The general arguments concerning the good policy of slavery and the slave trade... If it can be proved that good policy..condemns the measure under our consideration,..we may reasonably hope for its final abolition.
1788 T. Clarkson (title) Essay on the comparative Efficiency of Regulation or Abolition as applied to the Slave-trade.
1790 G. Washington Diaries IV. 104 He used arguments to show the..impolicy of keeping these people in a state of Slavery; with declarations, however, that he did not wish for more than a gradual abolition.
From the OED "Abolitionist":
1791 Deb. Abolition Slave-trade 46 If some of the circumstances of cruelty were proved, which the Abolitionists have only asserted, [etc.].
1830 Clarkson's Abolition of Afr. Slave-trade by Brit. Parl. II. iii. 89 Many looked upon the abolitionists as monsters.
And here's links to the last two word cited above:
https://archive.org/details/a160ceb5-bca2-4eb2-8435-bc96f6518ae8/mode/2up
https://archive.org/details/ASPC0002373001/page/n7/mode/2up?q=abolition
You may also be interested in this (old) book that has a lot of detail on the subject: https://www.google.com/books/edition/The_Wrong_of_Slavery_the_Right_of_Emanci/CSuWlNgwK4UC
Starting on p. 85 or 86
Your post is very encouraging! Mainly, because I greatly appreciate those who take the time to go out and secure the facts independently that way you can speak to these things directly and not just “I heard that thing from that person that time”. This is important.
Secondarily, you and I converged in however way. The end result was the same book by Owens. See this for what I did with it:
New audiobook release: “The Wrong of Slavery”, by Robert Dale Owen
https://freerepublic.com/focus/f-chat/3974335/posts