Do we witness weather?

 Mahesh Vijapurkar has pointed out:

The Times of India’s has a story, Mumbai sees longest winter in its January 26, 2011 Mumbai edition highlighting how the temperature scarcely went up above 15 degrees Celsius during the month. In its lead / intro, the paper says “It is rare to find rare temperatures in the city even at the end of January, but this is what Mumbaikars have been witnessing”

You see or witness snow drifting down, the rain pelt on the window but the temperatures are at best felt or experienced. In the headline the sees does not appear inappropriate but in the text, the witnessing does appear odd. Because, you feel the cold, you sense it, you experience it. But do you see or witness it? No, you don’t.

The headline in blue at the start of this story reproduced here is hyperlinked but the link does not open.