Yes, the ABBYY software seems really rather good at what it does.
As described in
EPSON Perfection V330 Photo Scanner + ABBYY and ArcSoft software, I first came across it in the bundled software that came with that scanner.
The last time I had Acrobat was in its version 7, but I don't use it now and currently get .PDF OCR processing via a FREE software - see
PDF-XChange Viewer ($FREE version) - Mini-Review.
My thought with the ABBYY ScreenshotReader was that it might be worth exploring to see whether it could be incorporated into the CHS process somehow, to meet the requirement for automatic OCR of captured images (those captured by CHS). This could be (say) upon the capture of each individual image, or perhaps as a post-capture batch process, or something. I had effectively been doing the latter - albeit manually - using OneNote, but the OCR capability of ABBYY ScreenshotReader seems to be superior to OneNote's OCR capability.
Added note: By the way, this is not to forget the very relevant point that any images in .TIF/.TIFF format can be automatically OCR'd for text and indexed/searched by Windows Desktop Search, if you have the .TIFF iFilter installed. In my view, for client-based databases, this in itself could be a good reason for duplicating text-bearing images into .TIFF format.
Similarly, I gather that
any/most images - i.e., not just those in .TIFF formats - which are stored in the Evernote "cloud" are OCR'd and indexed for searching, and .PDF imaged documents stored in Google Drive can be OCR'd and the text searched/extracted.