If you listen very carefully you can make out sounds in the background (including dialogue) that have been picked up.
This is crosstalk in the analog telephone company circuits between the ground stations and Houston. These links carried many ordinary telephone calls as well as dedicated circuits such as those leased to NASA. Especially noticeable are the MF (multifrequency) tone sequences used to transmit dialed numbers between switches at the start of calls; they may be familiar to those of us old enough to have made long distance phone calls before the switch to digital fiber transmission in the mid 1980s. They are similar to, and sound much like, DTMF ("Touch Tone") though the actual frequencies are different.
MF tones were also generated by the legendary "blue boxes" used by some to make free phone calls at the expense of the phone company. For this reason, MF was phased out even before the switch to digital transmission.