I guess not. The basis of the bets and gambling is the recent value. The gambler also controls the bets within just their price range. Whether the value increases or decreases, the recent bets would be the same. For example, the bets now have high digits because of lower value, then vice versa.
Even while the value of bets are the same, I think it would still have some effect.
When you play with fiat and the exchange rate for the particular currency you've been using suddenly increases, wouldn't that have an effect on you? For someone who has unlimited disposable money, it may have no difference for them but for someone who knows the effects of price increases then it could probably affect one's gambling habits.
Also, when bitcoin price increases the transaction fee and time is also affected. When this happens, gamblers may get affected as well. Due to high transaction fees or long confirmation time, they may have a hard time playing or betting unless they resort to the use of other currencies.
