@Caw said it well. However, I do have to say that there are "two types" of cat stoves. Ones that uses the cat to clean up emissions (nothing wrong with that), and (more modern) ones that use the cat to really produce heat and are designed to extract that heat from the cat (in addition to that from the firebox) and put it into the room.
Also the "more even heat" is not necessarily derived from the cat. Running low does not mean more even (I mean, choking it off too much risks a deviation to zero heat - i.e. a dead firebox). Some (cat) stoves have a (bimetal) thermostat that adjusts the input air to maintain an even heat output. Combine that Tstat with a cat stove, and you can do "low and even".
My old DutchWest did extract quite a bit of heat from the cat into the room (only a thin "lid" on top of that glowing hunk of ceramic), but it was by no means "even" - I had to adjust/tinker quite a bit during the burn cycle.
My current stove is of the "cat+Tstat" variety. And that allows low (b/c cat) and "even heat".
However it can also pump out 36,000 BTU's per hour continuously for 10 hrs long (with the firebox packed with the right wood) before reloading - per mfg testing, which is of course an idealized setting, but those are the numbers one can compare between stoves. I think that for most decently insulated homes that may actually be not too bad for full heating (as an oil furnace pumps out more per minute, but cycles on and off, lowering the per hour BTU production). I have not looked into the oil number, but I know I am heating my 1700 sqft + 700 sqft (insulated) basement from that basement without needing additional heat, at least down to 10 F outside, and likely more as I was not at full blast.
In the end, it is necessary to estimate your BTU heat needs for your home, and to buy the right sized heating appliance for that, while recognizing that a stove is a space heater and needs some help to heat the house (moving the heat around). And recognizing that heating a home from the basement adds to the total BTUs needed for heating the home due to the heat losses in the basement (hence: insulation, including the floor...).