This really happens, especially at big companies. The lack of logic in requiring a literal wet signature but then scanning and emailing the resulting document gets lost in the "but the policy says...". It's mostly been with compliance and security groups in my experience.
A lot of companies in the EU are still refusing to accept eIDAS PDF signatures (which are actually verifiable, and required by EU and national law to be accepted for all purposes previously requiring a "wet" signature).
Likely, but it probably ends up being "harmless fraud" and even if prosecuted the judge would be like "what?".
If the bank really cared, they would ask for the PDF and have you mail the wet signed documents in.
Likely the requirement for a wet signature is left over from earlier times (think fax machines) OR they are trying to ensure that the person actually signing is the person signed (in other words, YOU did the signature, not you asking your wife/broker/whoever to apply it for you).
It is very real, unfortunately. I handles contract often and have clients who demands for wet signature, even during the pandemic. Majority of that coming from public sector.