It's worse than that if the amount is non-trivial. Wells Fargo won't allow you to send an amount over $10k instantly without physically entering a branch.
ive banked with wells forever and never had a problem. Practices like this are mostly designed for security reasons and will be similar across the big banks
This is typical around the world. This is probably because it's a very practical way to limit losses if someone did gain access to your online banking.
When I lived in Australia, which I believe has a very modern banking system, I couldn't instantly send more than $5k a day. The one time I needed to send more money, I was fine with going into a branch.
FWIW the app for my ING bank account in the Netherlands allowed me to move up the slider allows me to move up the slider for daily transfers up to 50k euros. A little scary, but thought it could be handy if I need to move money around one day. Probably a different regulatory context, though.
The $10K limit is a federal regulatory requirement. You have to fill out paperwork and provide identification that is turned over to law enforcement for review.