Yes -- all the people I know withdrawing from small banks are going to Chase or Morgan Stanley. These largest banks have to mark-to-market their losses and have a lot of cash (short duration) assets, and are literally too big to fail.
https://www.insiderintelligence.com/insights/largest-banks-u...
Morgan Stanley is a completely different company with no (current) ties to JPMC.
The reason JPMC and M-S share the name "Morgan" is because the investment and retail sides of the bank were split during the Great Depression due to Glass-Steagall, almost 100 years ago.