I think the obsession about fibre intake is just that - an obsession.
A statistical analysis of all the fibre containing carbohydrate (CHO) foods that are a regular part of my diet revealed that the average fibre content is 21g/100g of total CHO. This means I would have to eat a minimum of 167 g total CHO or 132 g of net CHO to achieve the typical fibre RDI for men of ~35 g/day.
Thereafter I decided that this fibre RDI (by whatever merits or otherwise it has been determined) is incompatible with a low carb WOE and I happily choose to ignore it.