Yes, being hot is a motion sickness trigger for many people. It’s a commonplace that if we are encountering turbulence, and especially sustained turbulence w no expectation of smooth air soon, we turn the HVAC to colder than normal. Which may take a few minutes to have a large effect. People and their e-toys put out a lot of heat.
Actually, it’s easy to tell in advance whether you’ll be hot or cold on a flight.
Glance into the cockpit while boarding. If the First Officer is skinny, you’ll be hot since they’re freezing at typical room temperatures and tend to set the thermostats to the warmer end of normal. OTOH, if they’re a big person, you can assume you’ll be freezing since they’ll set the thermostats towards the cold end. Modulo of course how much you yourself are towards the large or small end of the spectrum. 
As a skinny guy, I always wear long sleeved uniform shirts and when traveling in the back in civvies wear a sweater and/or windbreaker over a long-sleeved shirt and an undershirt. Because I’m skinnier and therefore colder-blooded than about 95% of our FOs. Often by 100+ lbs-worth of meat & insulation. 
Now you know.
Semi-humor aside, management of air temperature in the cabin is a more complicated job than it appears. Cooling capacity parked at the gate, taxiing, and in flight are three very different situations. Time of day, sunny or cloudy, and passenger load all add to the mix. As does how whether and long the airplane had sat since last used.
As others implied above, we have a nearly infinite capacity for heat, but, especially on the ground, not a large excess for cooling. When operating in hot climates, it’s common to set the thermostats to essentially full-cold-full-time in mid-descent and leave them that way until early in the climb. That ensures the cabin remains tolerable until the next takeoff. Then it becomes a matter of guesswork + trial and error to determine where to reset the knobs for a more-or-less comfortable temperature enroute. At the next stop, we repeat the process & leave a mystery as to the best setting for the next crew to decipher.
Your typical narrowbody airplane has two heating/cooling zones, roughly the front and back half of the airplane. Widebodies tend to have one per partitioned-off cabin section. RJs have one section: the whole cabin. In each section there is one cabin temperature sensor. So ~75 people are sharing that one sensor and the system is supplying air at one temperature to that whole area. Net of any unevenness of distribution.
Good luck satisfying 150 or 350 people w a setup like that.