I personally think it would be even more popular, since people would be able to convert fiat to Bitcoin and hold them without having to worry about it losing value.
It would be used more as a real payment method than it is now.
Yes, Bitcoin will be a big name on the industry because as I can see now, the percentage of the people who's using bitcoin is increasing, what more if this bitcoin will have a high and stable price. I know people will be curious about this especially because its creating money.