Only a shill, or someone without a credit card, could argue that paying in BTC was an advantage in this instance.
By using btc you avoid paying capital gains tax since basically everyone who holds bitcoins right now has seen their investment go up in value. Converting back to usd is not as good as spending the btc.
It is kind of nice having a currency that appreciates in value over time vs slowly getting robbed by inflation or capital gains tax.
As a vendor right now it makes sense to accept bitcoins and immediately convert back with bitpay or equivalent because there is no risk, lower transaction fees, and you open up your business to selling to people who want to do business with bitcoins for a variety of reasons. Some crazy reasons, some more rational reasons, but it really doesn't matter because they have money and want to spend it in btc.
Also I suspect there is a lot of "new money" in bitcoins right now made up of people who got lucky as early investors but have little or no sense of money management and tons of disposable income. This group of people make up a very desirable customer segment. I expect we will see a lot of businesses selling luxury goods rush into the bitcoin space soon(Like people selling space trips that may or may not ever exist).
(That says nothing about how many people actually report that though.)
Very few places charge an extra fee for using a credit card.
Honestly, I trust my credit card company more than most merchants I do business with. I'd rather have them be able to claw back the payment if something goes wrong. I think that I'm way more likely to be screwed by the other party in the transaction than I am by the trusted third party.
"Yeah, but the shit isn't really so bad, you can often step around it, and we have a tax to pay people to clean it up. Therefore horses are just as good as cars."
However, Bitcoin supports programmable m-of-n transactions, which enable highly nuanced levels of risk hedging.
I suspect that it is only a matter of time before Silicon Valley (and elsewhere) innovators realize this and start providing smooth "select your desired level of risk" services.
Also nobody is going to sell you an anonymous airline ticket so, the benefit of using Bitcoin in this case is very dubious.
That is, suppose you buy a 0.5 BTC (say at the time that's 500 USD) ticket. You need to change things, cancel for some reason. Do you get the credit as 0.5 BTC or as the USD value of the ticket at time of purchase (500 USD) or as the BTC equivalent of converting from USD at the time of the credit (which may or may not equal the original 0.5 BTC).
EDIT: Went to their site. Apparently refunds (in general, not BTC or USD specific text) are not typically available. When circumstances affect your plans you have to call to find out your options. Anyone have experience with their refund/credit options to comment?
With bitcoin, I can buy an airline ticket without this being possible.