I'm wondering if it's best to have two different chains for seasonal gearing changes? In the winter when running studded tires I need to run a different gear setup verses the summer. Should I have two different chains and keep them mated with the sprockets? I think this make more sense then adding or subtracting links.

Different chain and set of wheels with the correct gearing and tires would make sense, or just build a winter bike.

For convenience sake I'd try to find a happy medium between gears where I could switch cogs and still remain within the space of the track ends so I could keep the same chain. breaking and reattaching chains repeatedly to add/remove links isn't ideal as you can potentially damage the chain, so it seems to make sense to just swap the whole chain, you'll probably have to buy some extra master links/clips though

Do you measure your chains? I can chew up a chain pretty quickly with winter riding. 10-speed... perhaps that makes some difference.

Anyway, depending on your riding and riding conditions, it wouldn't be too unexpected to toss a chain at the beginning of winter, and toss one again at the end of winter.

I have two chains to suit my gearing. Works for me...

If you need different length chains for the different gearing setups, then it's a pretty obvious yes. If you've ever had to add links back onto a chain, you'll do pretty much anything to avoid doing it again.