There should be two properties under the SpellCheckSettings that let the developer prevent the alerts that are shown when there are no errors and when spellcheck finishes. They could be called SuppressCompleteMessage and SuppressNoErrorsMessage. They would both be boolean and default to false to prevent a breaking change.
Declined due to lack of demand in the past 3+ years.
I agree. Also, when the alert is shown it should be possible to specify the location such as top, middle, near RadEditor (like a callout).