I have been able to use OmniPage X in Snow Leopard with only one problem. I think it is because I did not try to instal it. It came across with my auto transfer from earlier software/hard drives. It reads documents but does not scan because I haven't transferred over my old twain files. I understand that the OmniPage twain file may not work in Snow Leopard but there is a freeware twain driver which I haven't tried.
So if you are having problems installing OmniPage on your Intel Mac, try copying over the app, (OS9 style) from an older Mac which has an old OSX system on which OmniPage X successfully installed.
I use VueScan to scan pages from my scanner, save the multiple pages as a pdf, open OmniPage and get it to import the pdf file. Then I do steps 2, 3 and 4 manually (though you could do all steps automatically). The result is much better and incredibly accurate text - much better than in the olden days when I could scan directly into OmniPage. The only things occasionally misread are numbers, particularly fractions.
I am scanning two pages at a time and the VueScan OCR, though it otherwise does a quite accurate job, tends to blend the two pages together, so it is not useful for me. It would be far too slow to scan in each page separately.
It's a shame that Caere sold OmniPage to Scansoft. I remember getting regular messages about improved accuracy upgrades and I'd always buy them. Caere cared. Scansoft does not, even though OmniPage still is the best OCR software for the Mac.
If Scansoft is not interested in upgrading OmniPage for the Mac, maybe it should stop hogging it and sell it to someone who would be interested in looking after its users.