Exporting results with Views Data Export not working as intended
A possible alternative to consider for the fix you are looking for, is to consider an alternative module that can possibly address all of your requirements, such as the Forena module. Here are a few features of it, which seem to be part of your requirements:


Support for exposed filters (via report "parameters").
Save reports (= query results) in CSV format (CSV is one of the supported document types).
Create export view (= Write a report, e.g using the WYSIWYG report writer).
Yes or no include a pager (using the dataTables plugin via report "skins", which also implements the search box feature that dataTables offers ...).


There are many more features that come with Forena, as detailed also in its Community documentation. Refer to the demo site for some sample reports (shipped with the module), or the documentation included with the module (such as the supported document types, of which CSV is just one of them).

Disclosure: I'm a co-maintainer of Forena,
I hope this does not violate the site's policy on self-promotion.