Generally speaking, 5xx response codes indicate non-programmatic failures, such as a database connection failure, or some other system/library dependency failure. In many cases, it is expected that the client can re-submit the same request in the future and expect it to be successful.
Yes, some web-frameworks will respond with 5xx codes, but those are typically the result of defects in the code and the framework is too abstract to know what happened, so it defaults to this type of response; that example, however, doesn't mean that we should be in the habit of returning 5xx codes as the result of programmatic behavior that is unrelated to out of process systems. There are many, well defined response codes that are more suitable than the 5xx codes. Being unable to parse/validate a given input is not a 5xx response because the code can accommodate a more suitable response that won't leave the client thinking that they can resubmit the same request, when in fact, they can not.
To be clear, if the error encountered by the server was due to CLIENT input, then this is clearly a CLIENT error and should be handled with a 4xx response code. The expectation is that the client will correct the error in their request and resubmit.
It is completely acceptable, however, to catch any out of process errors and interpret them as a 5xx response, but be aware that you should also include further information in the response to indicate exactly what failed; and even better if you can include SLA times to address.
I don't think it's a good practice to interpret, "an unexpected error" as a 5xx error because bugs happen.
It is a common alert monitor to begin alerting on 5xx types of errors because these typically indicate failed systems, rather than failed code. So, code accordingly!