Technically, thats not right either !
The "starter" does contain a capacitor... a device to store electricity, and also contains a gas discharge tube which flashes on/off during the main lamp startup, this "starters" job is to allow current to pass through the heaters in the main tubes ends... once the main tube is lit, the starter should be doing nothing whatsoever... the power is "robbed" by the main tube, and the heaters will now be off.
In fact, once the main tube is lit you can REMOVE the starter all together, its job is done - dont belive me ? go try it...
However, if the starter malfuntions, the heaters could remain on - this causes the blackening of the main tube ends, as well as a higher bill !
I recommend an electronic starter, as its less likely to fail "ON" and prevents the main tube from flashing during startup - which in turn shortens tube life.