As per @Kenichiro-Yoshimi suggestion to use Slice instead of Plot on Intersection Curves I have gone ahead and made a custom filter that accounts for the adapted element sizes and the out of order data points (which will result into horrible line plots).
If the discontinuous nodes are not essential one can hide them by specifying a tolerance (absolute, relative) which will enable a Clean filter. Note, that using Clean will most likely result into some data loss.
Custom filter
AdaptedAngularFluxLinePlot.cpd (9.8 KB)