List web part shows 5 results per page, and we have 3 pages (so 15 items).
I search for title and I see 3 results in the first page, but I see link for the other 3 pages.
And navigating the other page, I see one more result in second page and the third is empty...!
Filter shows results for the page 1 (3 items), for the page 2 (1 item) and for the page 3 (0 items), but divided in 3 pages.
It seems filter "hides" results not matching from view, keeping pages.
I decided to use filter with querystring used by Sharepoint when you filter columns.
So the address bar shows this:
In this way, List Web Part filtered is in the right view: if I filter my 15 items, I found olny 3, but in one page.