Not true, SFL relies on the SPL settlement money, around £60,000 for every club. Maybe Accies and Falkirk don't rely on it exactly but I'd imagine that amount is a big issue for the likes of Stranraer and Montrose.
Of course it's a bigger deal the lower down the leagues you go, fortunately most clubs will just chop that amount off their playing budget, no big deal just shittier players or same players on shittier wages, can't imagine many 3 and 4 year contracts floating about in the seaside leagues.
I think they call it fiscal prudence, some of the overspenders should try it, it's painful but do-able.