In reply to JMB:
Really not very many, I suspect.
Have indeed worn HRM for days of climbing. Unless heart rate is above 130 or so for protracted periods of time, calorie burn is limited. Based on my observations of HRM, climbing is very much an interval, anaerobic sport, where pulse may rocket to 160+ for a few seconds in thrutching up some ghastly off-width, with ages then spent at pulse below 100. (So sh@gging/E1 analogy is not far wide of the mark....)
Suspect, hour-for-hour, climbing is less energy intensive than a decent (aerobic) stroll (when pulse averages 110-120 for most people). As best I remember, it's (very) generally estimated that running burns 800-1000 calories per hour, jogging/cycling/swimming 500ish, walking briskly 300-400 (all figs additional to standard metabolic calorie-burning). You almost certainly burn off more calories (and fat!) during your walk-in.
So...if it's weight loss you're after, suggest Scottish mountain routes rather than Bowles or Harrisons!