Yes and no. It depends on the issue.
In 2016, Saban complained about Northern teams conducting satellite camps in Southern states because these teams were impugning his built-in geographic advantage for access to players. As a result, the NCAA voted to restrict such camps. Saban was not issuing a warning prior to exploiting a loophole. He was trying to regulate a practice because he was not going to be able to benefit from the rule while other schools would.
I see this being a very similar issue. Alabama (although Saban, like Renault in Casablanca, would shocked to hear about it) has a long-rumored and well established bag network for recruits. This gives Alabama a competitive advantage over other schools in recruiting battles. With NIL, the effectiveness of the bag network has been compromised and I assume the under-the-table value for players was lower than the NIL numbers.
I am not convinced an Alabama collective will have the funds to compete with some schools like Texas and Texas A&M. Yes, it will likely be able to rake in more funds than a Syracuse collective, but not as against all schools. So, I saw his comments to be more about self-preservation as well as to indirectly tell the state legislature to pass a very lenient NIL law and for his boosters to step up their game.
Also of some interest, Saban apparently earns $275,000 from the University of Alabama and $9.2 million in a talent fee from The Crimson Tide Foundation.