I went to "5 Below" and bought a $5 watch/pedometer. It actually measured arm swings - quite accurately, as long as I did swing my arms while I walked. But, if I did swing my arms, and I kept a constant measured stride length, it would be fairly accurate at measuring distance - though nowhere near as good as a GPS. It was worth the price just as a watch - except it makes a clicking noise every time I swing my arms. (I haven't tried it on the ice, but I'm pretty sure it wouldn't measure a thing.)
It's calorie measurements were meaningless, because it didn't care how high I stepped, or how much effort I put into it.
It does not claim to be waterproof.
Low tech pedometers from years past that I've bought were even more useless. They used to say I stepped twice for every step I walked, half of the time. After I learned to move more smoothly, as part of an injury prevention interest, they stopped thinking I walked at all. I actually took that as an indicator that I was walking efficiently.
At one point I bought a Garmin Foretrex wearable GPS. Not a fitness watch, but it measured distance quite accurately (outside! didn't try in an indoor ice rink), and helped me find my way back to where I started, outdoors. It was supposed to be water resistant. But a couple rolls in the kayak, and it died, forever. Another GPS (also Garmin, fully marine rated) also died, after somewhat longer use. (It is fairly typical for marine electronics to die in 1-2 years of kayak salt water use, even if you don't roll, because kayakers get splashed a lot more than most boaters. Flares become unreliable even faster - a month or less, even if kept in a waterproof bag or box. But if you aren't going anywhere near salt water, and don't intend immersion, these kinds of limits don't apply to you.)
I've tried a lot of fancy gym equiopment with heartbeat monitors. I don't really feel they measure my level of effort very well.
Fitness gadgets try to do something magic. But, if they measure heart rate and breathing, they are really measuring how much you struggle. That could be because you are burning a lot of calories. It could also be because you aren't very fit. For me, at least, they aren't very useful.
But maybe some of you have had better experiences with these high tech magic gadgets.
One gadget has worked consistently. My current Weight Watcher's brand bathroom scale. Measures my weight to 0.1 pound precision. (Though my first such scale died fairly quickly.) Weight isn't everything, but it is something I am trying to reduce.