How are you grabbing the info off of the bg element? Filtering should affect the texture, not the uvs.
And if you pull the texture info during the call to the bg material, make sure all the screen projection related state is set up correctly. Ie, for the bg object, not the fg object.
For debugging this, have you turned off filtering on your fg object while it is still on in your bg object? Or is there no lookup, just a transfer of info from the bg object?
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