I probably wouldn't pack my bike unless it was important for my bike to be there. If I was just going around town or doing random rides (as opposed to an important distance ride), I'd make arrangements to rent a good bike and bring my shoes and pedals.

It just all depends on how much it would be bad if your bike were to be damaged. Yes, there is the dismantling but there is also the possibility that your bike could be lost or hurt. As much as I love my bike and would like it to be with me, if I was doing 30-50 mile rides in another city and I could find a decent bike for rent, I'd use the rental bike. If I was planning a century or double century in another state, I would probably risk packing my bike.

If you do bring your bike, definitely do hard-sided. Protect it as much as you can and remember aircraft can't read "fragile" signs