Let in the video
The gravitational acceleration of earth = ge
The gravitational acceleration of bowling ball = gbb
The gravitational acceleration of feather = gf
Now according to Newton ge> gbb> gf so the striking time of earth and bowling ball will less than the striking time of feather and earth if drop separately or at the same time.
As
Boots has pointed out, g
bb = g
f = GM/r
2, where M = m
e, the mass of the earth.
However, g
e = Gm/r
2 where m is m
bb or m
f when ball or feather are dropped individually, or (m
bb + m
f) when they are dropped together as in the video. Note that in all these cases g
e is
way way smaller than g
bb and g
f.
So I don't think Newton would ever have said that g
e > g
bb > g
f as it's not remotely correct. The above does mean that if the ball or feather were dropped
individually and all other things were equal then the ball would hit the ground in an immeasurably smaller time since Gm
bb/r
2 > Gm
f/r
2. I suspect Galileo probably wouldn't have realised that, so in that sense Newton was slightly more right.
Of course, Einstein was even more right when he said, as Brian Cox points out in my favourite part of that video, that the ball and feather aren't falling, they are standing still. There is no force acting on them at all.