Why are there so few hurricane-spawned tornadoes on tape?

We all know that hurricanes can spawn a lot of very weak, and short lived tornadoes. Hurricane Beulah spawned well over 200 tornadoes, at time a record which stood until 2004. However, in 2004 Francis and Ivan became the 1st and second most tornadoes from a hurricane ever recorded. There was a lot of video cameras in 2004, and with more recent technology such as youtube, etc, hurricanes that formed later on, such as Ike, Dolly, Alex, etc also spawned tornadoes. I live in Coastal Texas and most of the tornadoes that we get are from landfalling tropical systems. Are the tornadoes that form with hurricanes so weak and such short lived that it is nearly impossible to see them?