I have trail running and backcountry skiing wearing both at the same time……quite a few.
Size matters! If the Peak is too small don’t purchase. I prefer the baro for skiing and much ,much prefer the Peak for running. I cannot wear the baro sleeping. Too big.
The Peak has a slightly better altitude algorithm and with small rolling hills will do better. For me, I have big hills so it doesn’t matter.
The adaptive backlight on the Peak is great, I like it for running and all day use.
For me the Peak hands down but I like the smaller watch and never have more than 4 data fields on one screen.