What impact does the BTC price have on your play (gambling both in casino/sports betting/binary options etc)?
Real and core gamblers careless about the price of Bitcoin when they want to gamble, their only concern is if they have the bitcoins to gamble with. If they have bitcoins to fund their account with, they are good to go. The passive gamblers, that is people who gamble less often like me will be concerned about the price of bitcoins because we are not used to loosing to gambling and any bitcoin we loose during a time when bitcoin is performing well will hurt very much.
You are correct about this it's only gamblers like us that gamble less often that will be worried about bitcoin price and their gambling going by how every bitcoin they lose they would be thinking of how much profit they could have made from it with bitcoin price rising in future. But a true gambler, one who have soaked himself to gambling care less or nothing about the price of bitcoin when he wants to gamble.
Technically it's with polls of this nature that we get to know who the true gamblers are, differentiating the boys from the men when we talk gambling though those that are struggling with gambling addiction should consider themselves as core gamblers because a core gambler should know better how to be in charge of his response-ability in gambling. Anything out of the equation you're just part of the problem to the negative aspersions from society about gamble.