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Am I correct?
Yes, you are basically right. Except, that TX mentioned earlier is probably not related to this case since the information in screenshots, particularly the block number and timestamp, doesn't match up. "saxydev"
claims that the transaction was confirmed in block
2813799 (mined about 10 days ago), and the mentioned TX is part of block
2820718 from a few days ago.
I see. But let's suppose we insist on using that TxID as it's what admitted by saxydev to be the valid TxID, and thus, the complete web address as I wrote above, will entering both entries --the address and the TX private key-- brings us a "false positive", i.e. it will says xxx amount of XMR --equals to 90$-- was indeed sent to OP's address while saxydev actually never send it? Or will it says something like, "invalid data, transaction not found"
If what'll happen is the latter, then the result itself is conclusive enough that saxydev has never send the payment and brings us to the end of this case.