I dug this topic out of the dim and distant past because I also use Kaltostat (I get it on prescription from the NHS). Its haemostatic action definitely works and it's a lot better than using a plug of tissue, because it forms a moist, lubricated surface that makes it easy to remove from the nose without traumatising the telangiectasis that was bleeding.
When I have a moderate nosebleed, it's ideal. A mild bleed can be staunched with tissue (Kaltostat seems too expensive to waste, even if I'm not paying for it myself) and a severe bleed will soak through the Kaltostat in minutes. I get a lot of nuisance-nosebleeds, not involving significant blood-loss, but long enough and severe enough to force me to stop whatever work or play I had been engaged in. Kaltostat works for those, as it does for night bleeds.
Its other small advantage is that you can actually breathe through it a bit, unlike tissue.
Good stuff. Ask your doctor to give you a recurring prescription. Whenever I get close to running out, I drop off the form at the medical centre and collect the renewed prescription the next day.
Finding a pharmacy who will stock it is a different problem. Because it's expensive and it has a limited shelf-life, they don't want to buy a large box for one patient. It took me about 4 pharmacies before I found one who would stock the stuff.