Cell phones at the time were unencrypted analog signals and could be picked up by any number of modified and unmodified radio systems. Scanner radios were easy to modify to pick them up. Even a UHF tv set could pick them up.
Current cell phones have moved to less easily accessible radio bands, encrypted, digital signals that jump from channel to channel, time divided, or frequencies. CDMA, TDMA, and FDMA, respectively. They can't be picked up with an off the shelf consumer radio.
A land line could definitely be wiretapped, but Lance likely knew his line wasn't, and the chance of an incoming line being tapped was low, and either would require a warrant and a large expenditure and good reasoning by police. But an analog cell phone wouldn't require a warrant. It's free air transmissions. Hell, look at current Stingray technology, where cops abuse the law and technology to wire tap cell phones without a warrant, on the basis that radio transmission isn't private.