... some ILS approaches have higher mins ...
Although not a direct comparison, an old NPA to Zurich 29 had visibility minima where it was impossible to see the runway at 'MDA' when on the approach path.
The then procedure design assumed level flight to MAP, from which if the runway was seen resulted in a 6 deg flight path.
Unfortunately it took a tragic CFIT accident to alert the authorities to this and change the procedure, and ultimately to install an ILS.
IIRC this accident also strengthen the case for EU CDA regulation and procedure review by ICAO; perhaps other authorities have yet to learn, adopt CDA, or implement the MDA concept.