Also joining you 
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2 DC (4 & 2). Both severe reflux (DC1 came off meds last year but still has some reflux). Both BLW (due to reflux, figured it was safer to let them put stuff in their own mouths).
DC1 eats very little - bread, rice, some kinds of potatoes, couscous, peanut butter, cheddar, Parmesan, houmous, raw carrots, cucumber, broccoli sometimes, apples, pear, cream cheese, ham, grilled chicken sometimes, smoked salmon, poached salmon sometimes. Never sauce of any kind. Never tomato of any kind. Never egg of any kind. She would live on peanut butter sandwiches and pasta with Parmesan if I let her.
She has eczema and known food (skin rather than gut) allergies to cheese, houmous and peanut butter. The dietitian thinks she is gluten-intolerant, maybe celiac and we're awaiting tests. If she is indeed celiac then we are totally stuffed without bread and pasta. As it is we need to apply a barrier cream to her face and hands before giving her cheese, peanut butter and houmous. I don't think I can cope much longer, it is truly that stressful.
DC2, OTOH, eats most stuff. His favourite food is edamame pea and soy bean salad and he drinks the little pot of vinaigrette that comes with it. It is so hard not to show favouritism at meal times . It's also really hard trying to ensure he is exposed to different foods; most nights I cook three different meals and I am shattered (she has food issues, he has sleep issues - it evens out with the favouritism!).
The biggest problem is that according to the dietitian, DD eats healthily - she does indeed have a balanced meal every mealtime according to the food diaries. It's just the same fucking meal every fucking day and I am totally fucked off. In fact I am close to walking out over this. I've been sitting here trying to do a meal plan for the next week or so and it's a joke.
Right now I'm thinking sod it, casserole every day because that's what works for us, why should I let a 4yo dictate so much? Unfortunately none of the doctors or dietitians so far seem to agree with that course of action - but they're not the ones doing all the bloody planning, shopping, cooking and throwing in the bin.
The alternative is that I cook a decent meal for the rest of us and give her a peanut butter sandwich or cream cheese pasta every meal, every day until she is totally bored of it. But that might backfire.
At the moment she is reducing the foods she eats by about one food item a week. This is nothing to do with like or texture any more, surely. It's about some kind of control. I am not prepared to play games.