Interactive =/= able to kill her easily or ignore her strength.
Janna mid would sit under tower, clear waves, and would kite around the tower if you decided to dive her(which was your only choice for fighting her unless you were the likes of Xerath, Ziggs, or Lux. Then she would just shield and dodge your attacks with her ms). Maybe come out to murder you with her jungler.
Janna bot can be poked out easily, and does not have the tools to deal with the likes of
... basically poke or sustain champs. She does, however, have the tools to deal with dives and engages of any kind. And as a support(especially with the q damage nerfs) she doesn't even have the option to just sit under tower and clear waves because the adc is the one who decides how the minions will be farmed, and they tend to like to do it by the enemy tower(for some reason). And regardless of whether she takes
or
she has to enter, at the very least, her minion wave to get her gold.
Not to mention, Draven is one of the best adc's for her to support. His highly aggressive playstyle makes up for her passive-aggressive one, and now she can go on the offensive, keeping you off her adc even as her adc mashes his foot into your face.
Against a Janna, you do not want to engage in fights, you want to siege. Whittle the enemy team down, little by little till they can't fight you. Then take an objective.
So sure, if by "interactive" you mean "able to be dived or have a fight forced upon her", then no she isn't very interactive by herself(her allies might still force a unwise fight, and she can't peel through stupid) because her strength is bent to avoiding that exact situation. But if by "interactive" you mean "can be fought", then yes, she is interactive. She wants to fight you early, and protect her allies late. You just can't win against her by any ol' strategy. Like how you can't beat a Soraka though a poke based comp. (Technically you can, but it has as much of a chance of succeeding as running a comp that relies on one or two engagers against a Janna.)
So either poke her out, or have 3-4 people who stagger their engages to overwhelm her(Leona and Reneckton bot [sg-janna] It was horrible).