Hi Thom and all,
In a word, no. The scanner antenna will have no effect on the TV antenna (unless it picks up spurious radiation and the picture jumps as the receiver scans) but the TV antenna acting like a ground plane will cause pattern distortion noticible on the scanner antenna above it. By pattern distortion I mean it will depart from omnidirectional (circular) coverage and exhibit slightly better reception in some directions and slightly degraded in others depending on the resulting pattern and the degree of distortion.
OK, there's your answer but the key word is "slightly" so don't worry about it, I just get technical sometimes. Hey, I'm a HAM so forgive me! (;->)