It should have been obvious from the way I was describing the installer as a cowboy for fitting one.You never said this was a case where a masthead was not needed.
The purpose, as you claim to know, of the masthead amp is to boost the signal to compensate for losses in the cable. It also should not be mounted too close to the aerial or there's a risk of feedback - boosted signal leaking from the cable (and possibly amplifier) being picked up by the aerial. The mast is in fact fairly high (much longer than 6 foot) but there's only a few feet of cable between the amplifiers (the mast "head" amp being fixed right at the bottom) - hence my comment about there not being a lot of attenuation to compensate for in about four foot of cable.Why only 4 feet of coax? An aerial should be mounted well clear of the roof line. A typical mast/pole is 6 feet long. Then the cable has to get into the loft.