Follow Up
I can follow up on prospects that have seen your home without them thinking you're anxious. A homeowner calling a person who has seen their home can give the wrong impression that may lead them to think you are desperate.
The problem with a homeowner calling a prospective buyer "to see what he thinks" is that the buyer might get the wrong impression. You don't want to appear as though you'll take less money. This could lead to lower cash proceeds for you.
To the contrary, it is natural for a third party like the listing agent to follow up with a prospect. It is the responsibility of the agent to find out what kind of reaction the buyer had to the property. This will help encourage a contract and can lead to learning about adjustments that can be made to make the home more marketable.
Sincere Interest
I know you are concerned about the sale of one home. I pledge to take a sincere interest in getting it sold for the most money, in the shortest time, and with the fewest problems.