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Cap1 CreditWise uses Vantagescore, the same that CreditKarma and other FAKOs use. They are pretty much for informational purposes only.
Nice job on your rebuild! The difference is going to be because different scoring models are used. Almost all lenders will use FICO scores, and the most common ones are the FICO 08 models based on info from each of the three bureaus. The CreditWise score is based on TransUnion data, but rather than being based on FICO scoring models, it's based on VantageScore 3.0 which is commonly referred to around here as a FAKO score. Those scores can be significantly higher, significantly lower, or about the same as common FICO scores. My VantageScore 3.0 scores are generally in the low to mid 600s, while my FICO scores are generally in the mid 700s - yes, it can vary that much! There are often people who might have VS3 scores in the mid 700s but find out that their FICO scores are actually only in the mid 600s, as well.
At any rate, the score you see in CreditWise is not what CapOne will use to determine your creditworthiness for a credit line increase.
CAlitalia One uses Equifax FICO Mortgage Score 5 for CLI requests if I recall correctly.
edit: now that was an interesting autocorrect. I of course meant Capital One, who does not issue an Alitalia card or any other SkyTeam member.