The checklist has 3 possible outcomes, no action, award FNC, assess for CHC via a DST.
If the result is a DST the panel assesses all the evidence anew and in greater detail.
" ...there's a risk that the DST team won't have realised some / much of the factual material on which they're basing their decision is actually wrong / incomplete?..."
This is possibly a basis of an appeal against the decision, it has nothing to do with the evidence used on the checklist, the checklist is history the resultant DST is what matters.
If the result is a DST the panel assesses all the evidence anew and in greater detail.
" ...there's a risk that the DST team won't have realised some / much of the factual material on which they're basing their decision is actually wrong / incomplete?..."
This is possibly a basis of an appeal against the decision, it has nothing to do with the evidence used on the checklist, the checklist is history the resultant DST is what matters.