As a controller I have seen some iffy attitudes to LVO from crews, that is stating that they want to fly "CAT3 for practice" or some such in marginal CAT1 conditions. Flying them in cavok-ish conditions is one thing, but doing it in marginal CAT1 conditions seems to add more risk than you need to.
Airports are under pressure to stop low viz ops as soon as possible, as CAT1 can often near double the hourly capacity. Thats why LVP gets cancelled as soon as ceiling/viz creeps above CAT1, even by the slimmest of margins.
In such condtitions I have had crews asking for CAT3 at visibility 1000 meters, and after they got the "CAT1 one only, no LVP safeguards in place" stated they would do a "CAT3 for practic".