Kids see you go to work every day, that you always have money, how happy you are when you buy yourself, a new car for example, but I see no kid today that will rush to start working as soon as possible So that "imitate what we do, what we feel, and what we're engaging with" might not even happen. But, if you hide everything gambling related (that they will find out anyway), you limit them with new knowledge. Being smart and having extra knowledge was never bad.
I think it's unwise to think that children won't want to work sooner and imitate their fathers working and also earning money to finance the household, I think they just lack jobs, basically these days unemployment is increasing because jobs are narrowing. IMO
New knowledge related to gambling in my opinion should not be prioritized, where the child has not been able to get a more mature psychology will be very dangerous and again not working it will make it difficult in the future, where will ask his father for money to play gambling because he knows his father is also a gambler, it will make a hassle in my opinion, it is better to hide it as best as possible even though he will eventually find out too.