As noted in #3646 (comment), the data reader doesn't handle when a TypeHandler throws an error in sequential mode, in case the buffer has advanced to next chunk of data. This is because the reader currently can't know how many bytes that have been processed. I see two options:

1. Force type handlers to skip data to the end after throwing an error. Works for explicitly thrown errors but not for unexpected exceptions (bugs).
2. Introduce an ulong (or 128-bit?) in the buffer class that accumulates the number of bytes read so we can know the exact position.