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In summary, VPNs and TOR can help to hide the IP address of the user l, but it would not hide the fact there is some software being used to hide one's identity or IP address.
Funny thing is that it is not only casinos which are always paying attention whether the user is using VNPs or TOR, when you visit YouTube while using those privacy tools, Google will first show you a banner about their terms of service and how alledgedly the user data is safe when it is in their custody, if ones closes the pop-up one can continue to use Googles services with no much problem, though they will change of language and region constantly.
By the way, sometimes casinos hit false-positives with people who have a dynamic IP address (which they cannot control), it is specially common here in my country, one day it appears you are gambling from a city of the country snf the next week the IP address changes, giving the impression one traveled to another place... It can be a hassle.