Is it possible that the statement is about a pesticide product containing boric acid or a sodium salt of boric acid, and that the abrasive element in said product is not the boric acid?
Boric acid, or B(OH)3, is the mineral sassolite, and has Mohs hardness 1. [0]
Boric anhydride, or B2O3, has a Mohs hardness of 4. [1] It is not boric acid. It converts to boric acid in the presence of water, and is hygroscopic, so will also do so in the presence of humidity.
Borax, or Na2B4O5(OH)4•8(H2O), has a Mohs hardness of 2-2.5 . It is not boric acid. It converts to boric acid in the presence of strong acid, and is considered a hydrated sodium salt of boric acid.
Diatomaceous earth is a sedimentary material, not a pure mineral. It has components of different hardness, the relevant factor being the crushed frustules of ancient diatoms, or diatomaceous silica. "The ultimate hardness of the diatom skeleton is between 4.5 and 5 on the Mohs' scale.... The friability, or the propensity of the skeleton to break down, rather than to abrade, renders a measurement of hardness meaningless without also a consideration of the particle size." [3]
The "not even close" text was the actually quoted text "the gift that keeps on killing". Quoted from the cited source? No. The other dubious hyperbolic phrase was "the effect is like shards of glass cutting them apart", which also does not appear in the cited source. "Shards of glass" does bring to mind a broken diatom frustule, which is literally a shard of sharp silica when viewed under a microscope. There's quite a step up in intensity from "related chemicals may be abrasive" to "this exact chemical is like sharp shards of glass".
Your sources are a company that sells microscopes and "about us" copy for a company that sells mineral borates. I'm not certain what borate it has with a Mohs hardness of 3, but that means it can scratch a fingernail. Try it at home. Grow the biggest boric acid crystal you can, and then try to scratch your fingernail with it. About the only thing holding it together as a solid at all is hydrogen bonding and van der Waals forces. There is nothing there chemically to give it hardness. Individual molecules flake off readily.
So no, I will not apologize or concede.
[0] http://webmineral.com/data/Sassolite.shtml
[1] https://pubchem.ncbi.nlm.nih.gov/compound/boric%20anhydride#...
[2] http://webmineral.com/data/Borax.shtml
[3] https://www3.epa.gov/ttn/chief/old/ap42/ch11/s22/reference/r...