-snip-
Some are unaware, but most probably just don't want to admit it

It's not without reason that addiction can be recognized from the start, but there are still many people with big egos who don't want to admit that they are addicted because they think that addiction is the worst condition and can be a disgrace for gamblers, so they don't want to admit it even though they are aware that they have been exposed to this.
It's possible that some people don't realize they've entered the stage of addiction, but on the other hand, when compared to those who have been aware from the start, I think we know that they know and are aware that their level of gambling is already very high. However, because of their big egos and unwillingness to admit that they are addicted, they prefer to let it go until it reaches a stage that is even worse.
Whether they admit it or not - the average gambler is an addict. They don't have to admit they're addicted to gambling - I don't think that would be useful to anyone listening, but if they want advice on how to reduce the negative effects of their addiction, they should be honest. If they are ashamed of being called a gambling addict - then they should not gamble or do it in front of others.
The most easily recognized sign of addiction is repeated gambling. When someone intentionally returns to the same game regardless of the duration - I can assure you they're addicted. It doesn't matter the amount of money - but when they gamble repeatedly, they're addicted.