I have top private health cover in Australia and recently bought progressive glasses and a set of readers. They cost about $Au1,200 of which I got funding for $250 yearly but lenses cannot be reprogrammed. Hearing aids I can only get $1200 back every 5 years. The cover for glasses is better but not anywhere near the real cost. If I chose a cheap provider I could get one pair fully covered but I don’t take that risk as the lenses are complex and the large professional lab has enough problems getting the lenses perfect. No one seems to cover the combination of both readers and the progressives. Unfortunately doing any long reading stint without dedicated readers is very impractical but none of the insurance companies seem to recognise that.
In short, I don’t think vision correction is perfectly covered either. At least in Australia the biggest problem for private health care is the gaps people end up paying.