no. this is ridiculous. you've demonstrated a total lack of understanding of how a bank manages its balance sheet.

Banks are awash in reserves and in the basel3 regime these reserves fulfill a similar role to cash in fulfilling bank balance sheet construction requirements. so the banks are not constrained from a lending perspective by a lack of cash and therefore have no incentive to raise rates to attract new deposits to create a base to lend off of.

so from the perspective of why rates are low, it's absolutely because banks are sitting on a lot of cash.