I didn't know this app existed. Anyway, the project was discontinued.

That's true, all devices are hackable, there's no 100% protection.
No tool is perfect, but if that's a security improvement, it might be worth enabling.

I know of at least one instance where lockdown mode protected a user from NSO spyware.
A Citizen Lab's research confirmed it:

For a brief period, targets that had enabled iOS 16’s Lockdown Mode feature received real-time warnings when PWNYOURHOME exploitation was attempted against their devices. Although NSO Group may have later devised a workaround for this real-time warning, we have not seen PWNYOURHOME successfully used against any devices on which Lockdown Mode is enabled.

It is encouraging to see that Apple’s Lockdown Mode notified targets of in-the-wild attacks. While any one security measure is unlikely to blunt all targeted spyware attacks, and security is a multi-faceted problem, we believe this case highlights the value of enabling this feature for high-risk users that may be targeted because of who they are or what they do.

Cool.

And what about identifiable and personal information? Such as physical address, phone number, full name etc? Is there any requirement to provide it to you or them?

Yes, I've never used it with Coinbase. I don't live in the US, and I don't think Coinbase is even available in my country.

Moon/PayWithMoon was way better, convince me otherwise.