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CCT does not offer FICO scores. And as far as I know, no lender uses those scores from CCT. IMO, ignore them.
Lenders do mostly use FICO scores. They have purchased the rights to use the formula, so when you app for a mortgage, for example, they see the report from the CRAs and scores via their software, or whatever means they use. My primary bank, for example, uses an EQ FICO score, the same on this site, for all of their loan products.
Check out Credit Scoring 101.