In the past I looked into the debit and credit operations on the bank balance sheets driven by financial deal-making customs. I have not researched how the term "call money" fits into the deal-making customs.
Keyword search posed to Google AI:
do eurodollar liabilities of banks equal the offshore eurodollar market valuation
Answer: No. Paraphrasing, the AI response says the net size of the offshore dollar market is drastically reduced if we consolidate the bank balance sheets to cancel out offshore interbank lending and borrowing. After one cancels out interbank positions, to get rid of double-counting, the net offshore dollars still exceed the eurodollar liabilities issued by domestic banks. This is called a money multiplier effect or result.
But it should just be understood that loans are created from thin air by the promises of borrowers and the credit analysis of bankers. The result of the process is a multiple of offshore dollars exceeding the domestic eurodollar liabilities. I think payment clearing occurs via what I call a "daisy-chain" back to the Eurodollar liabilities of domestic banks. Similar to how non-banks clear payment via transaction account liabilities except the Eurodollar market seems to be driven by interbank financial networking with remote banks dealing more directly with the non-bank borrowers.
Joe