Dear Person,
One clip is not enough to justify your assertion that Sixties companions = screamers. Maybe they are 'best known for their lung power' but that's only because of That Stupid Stereotype.
You're making me remember
Paul Parsons, Person. Stop that now.
To those that actually bother to watch anything broadcast in black and white, they are known to be Rather More Awesome Than That Stupid Stereotype. In fact, I've just looked 'The Moonbase' up on Wikipedia and from the short sypnosis alone, I can pick out two sentences which seem to indicate there is Polly (a girl, woman, female) awesome there (remind me to watch more Polly, soon) and that she does, in fact, serve more of a purpose in the story than to scream and be comforted.
Although I will agree with the statement 'Fortunately, male characters were always there to give support' because saving the world single-handedly, even when More Awesome Than You, can be tricky.
I love my TARDIS teams. (Also Sarah Jane's 'gang' is made of shiny win-ness.)
Also, screaming ≠ bad. Screaming = perfectly natural and understandable reaction. I don't think I would be brave enough to travel with the Doctor. If I did, I'm sure there would be quite a bit of me screaming.
Yes, it's another so-late-it's-early post from me.