I want to be clear on something… are you suggesting that the survey is the only tool you’re trying to use to research the problem?
If so, that is a woefully terrible approach.
If you’re using it as a starting point for additional research before design, then you may try this approach.
Be forewarned: there is a great deal of risk that comes with this approach, stemming from the fact that it will only catch users who are at risk of page abandonment based on cursor position. It will not catch data from users that actually abandon the page through non-cursor means, abandon it too quickly to notice/digest the popover, or are so frustrated that they abandon the page even after seeing the popover.
In the same way that changes can have positive impact, changes can also have extremely negative impact. You need to spend the time to do the right research to give as much guidance as possible before your first iteration - which, in many realistic circumstances, is often the only one you’re given a chance to create.
Too often, once a project is completed, the next iteration gets put on the back burner indefinitely, whatever the intentions of the business or best practices of the team might be.
Do the right work, even if it takes more time. You may never get a chance to do it again.