A reasonable fraud investigation should involve more than simply confirming that a transaction successfully went through the payment system.
Depending on the circumstances, relevant facts may include where the purchases occurred, whether they resemble your normal spending, where goods were delivered, what merchants were involved, and other evidence bearing on whether you actually authorized the charges.
That matters because a computer can show that a transaction happened without necessarily answering who actually made it.
For more on the difference between a transaction record and a real investigation, see “These Credit Card Charges Aren’t Mine. Why Was I Denied?”:
https://www.cardozalawcorp.com/blog/these-credit-card-charges-aren-t-mine-why-was-i-denied-.cfm
