Hello and thanks for replying!
In that paper, as well as according to the SHAPEIT5 tutorials, the WES data is phased after having been combined with SNP array data. We don't have any such data. So we'd be limited to, as you say, within-exon phasing. Even then, we'd need reference panels, since exons can be longer than 75bp which is our read length (the data is a bit on the old side, sadly). Considering most of the variants we'd like to estimate LD for are in different exons or exonic-intronic or hundreds of bp apart, I don't think this can be done :(
Also, the reference panels used in that SHAPEIT5 paper were from the UKB which is about half a million people large. The freely available panels that can be used without having to upload sensitive patient data to overseas servers, are a couple thousand samples large. I know for a fact that this makes a huge difference - we previously found a 5 Mbp shared haplotype only when using the HRC panel (almost as big as the UKB one).
Can we do any better than a correlation test? Perhaps we should just calculate the conditional probabilities? Like, P(var1|var2) and P(var2|var1), and if they're both > 95% or so, we call them linked, and only include one for the downstream...