This is anecdotal, but even with pectic enzyme at the outset, racking, and months in secondary until its very clear and no more dropping, I still get sediment in my later bottled hard ciders. First pour from a bottle is fine, but the last pour is cloudy. I assume I would need to filter it to get rid of it completely.
Maybe, but maybe not. Hows that for being helpful?
What I mean is that it depends on the cause of the sediment. It could be some excess acid that precipitates out (wine diamonds), but if it's a light dusting it could be due to the yeast strain used. It could be pectic, but most unlikely. Some ingredients also will drop dusty lees for ages- like dandelion wine. Maybe in that case it's pollen(?) but dandelion wine will drop lees for months in a fine dusting that I just can't ever seem to get rid of.
Some yeast strains are fine and dusty like that as well, especially bread yeast. Some yeast strains, like the English ale strains, will drop clear in a week or two and never make a dusting of lees.
Could you be having some MLF in the bottle? Any co2 bubbles?
One thing that might help you is to cold stabilize the cider before bottling. Even though it may be apparently completely clear, you could put it someplace very cold, near freezing if possible, for a few weeks. Every time I do that, even with a super clear wine, mead, or cider- I will get some lees. Then, rack off of that and bottle from there, and you shouldn't have any issues with sediment/cloudiness in later bottles.
Are you preventing MLF with sulfites, or allowing it? It shouldn't matter, but I have seen sediment drop after/during MLF, although uncommonly.