Most aluminum tanks start neutrally to slightly negatively buoyant when full, and end a few pounds positively buoyant when empty. Compact, high pressure aluminum less so, standard aluminum more so. Even varies by manufacturer.
Steel tanks, especially high pressure steel tanks (not manufactured during the Sea Hunt era) will start several pounds (maybe up to 10-15) negatively buoyant and end a couple pounds negatively buoyant.
Aluminum, steel, high pressure tank, low pressure tank, size (e.g. 72 vs 80 vs 120 cuft) all make a difference and have varying results. I can't recall if aluminum tanks were around during Sea Hunt. If they were, the show was right. If they weren't and they were using 2200psi steel, the show was wrong. Though I've watched the whole series, and they got more stuff right than wrong.