Filter & pager influence view result -- but not mutually each other

Hello Viewers!
First of all: Thanks for your work. Then: I originally wanted to set the issue category to 'support request', then I realised that this is a bug. And if not, then this could be considered a 'feature request'.

However, in my attached file (zipped flash screen-capture) I try to show you my main problem -- it seems that an exposed filter doesn't have an effect on a/any pager! Both (filter as well as pager) obviously influence the view result, but they should actually also influence each other, especially from filter/ exposed filter to/towards pager.

If you could help me out of my, hopefully temporary, confusion due to tiredness, I would be glad. I cannot see clearly any longer! If this could be considered a long term issue then we should try to find a cure for it.

I am using a set of fields in this view ... the one in the focus here is the date field, naturally. The view contains a contextual filter (for the pager) & an exposed filter (regular user GUI). The default value, btw, of the contextual filter seems to be useless -- I've returned 'foo' via 'Views PHP' without any consequence.

I am really baffled somehow since I don't have problems programming modules and whole software solutions, but I just don't seem to get this thing here! Maybe I am too tired, but it should be so easy, shouldn't it?