The concept of the rug pull does not apply here, because there is no liquidity pool, coin pair.
It's a contract, that is deployed. The contract handles the deposits, the rounds, and the payouts. Everything by code. It's immutable, so it can not be changed. Actually if it would become successful, new copy's would appear so fast, because it's open source, so everyone can just launch their own in the matter of seconds.
Smart contracts, like any other form of code, can be vulnerable to exploits, and even well-audited contracts have faced challenges in the past. The concept of a "rug pull" may not directly apply in this case, but vulnerabilities can still exist within the contract itself.
Regarding your idea, I do not think the concept of lottery-style games is particularly popular in the crypto world. In fact, not sure if it is even popular among younger generations in the real world. The appeal of such games likely depends on demographics; generally, younger demographics tend to lean towards high-paced games with a significant adrenaline rush involved. That said, there could still be niches or unique features that could make your idea stand out and appeal to a specific group within the crypto community.