Why is Montag's capture depicted on television even though he escaped?

Also, since it was televized, the government must assume that their are people watching this in their homes, and cannot continue a long and winding chase and satisfy them with a short chase. A long chase would mean that the government cannot finish off a fugitive, and that would mean that they can't control every part of society, which would make them "lose face". Going back to the televized part, the government knows their citizens have short attention spans, and therefore wishes to make them happy with a short and definite ending.