I will say it is true that online gambling casino site is the most fair in case of accessing gambling from home or any where. But I will also say that online gambling has also the highest risks because of its none identify and there will be more chances to scammed. So in case of fairness I will say offline gambling will be ahead in this case.
Offline casino should be more fair than online casino because the code of online casinos are not public because they will get exploited for flaw and get hacked. Offline casinos would have to be fair because they know they can be visited for inspection and they would not want to risk losing their licence. Online casino can do anything that they like and get away with it. Some online casino people do not know their founders but they get used by people that want to gamble. Online casino are more accessible because you can login to play when you want to but this should not mean that that they are fair although I do no see any reason why a popular casino will be unfair when they know it can spoil their reputation and make gamblers to stop using their casino for gambling. As a casino owner you are going to make more profit providing a very trusted service than to scam gamblers as your activities will be noticed and reported for scam and you lose gamblers.