From the ADR1000 specsheet:

Did I miss something ?
proportions seem to be similar to the LTZ1000. I would say R4/R5 are still important.
You missed the fact, that for the LTZ1000, R4 and R5 had a 75..100:1 ratio, so it's at least 2 times more relaxed here.
The un-ovenized LTZ1000 RefAmp has about +50ppm/K T.C., where this sensitivity arises from.
From scratch, the ADR1000 shows around 2..20ppm/K only, depending on oven temperature and sample variation, and you can even trim this to zero exactly at the oven set temperature, by appropriate selection of the collector current, like for the SZA 263 / LTFLU.
In this case, this R4/R5 ratio becomes completely irrelevant, so you would need one or two stable stable resistors only, instead of five.
Frank