I guess the question depends heavily on how the rounding is applied. Maybe only 30k Sat is needed to get the full base reward. The 100$ dollar boundary is for activating the 1000% Sat bonus per roll if I remember correctly.
Nope, 30k satoshi account balance won't remove such restrictions. We were required to have at least $100 in BTC to remove the captcha restriction on our account. If I'm not wrong, then keeping such amount of BTC doesn't work anymore to remove the captcha. Only wagering and buying lottery tickets can fix the base reward amount. I could be wrong though, you may verify it by keeping $100 in BTC to your account.