You're contradicting yourself here. Yes Woody Johnson spends money on the Jets, but so does Jerry Jones on the Cowboys and Daniel Snyder on the whatever you call them these days...And so did wang.
While NOT spending money on a team is surely a death sentence for them, actually spending money on them doesn't guarantee shit if you're a bad owner...And Woody Johnson, Snyder, and wang are certainly that.
The sport really doesn't matter - Bad ownership will kill you every time. Matt Stafford is absolutely a franchise QB and he's been languishing in Detroit - even with a hall of fame WR in Calvin Johnson. You'd need a generational QB like Manning or Brady to overcome average ownership (like the Colts, Broncos, and Bucs all have), but I don't think you can overcome someone like Woody Johnson's ownership.
That's why I think much like the from roughly 2001-2015 any "optimistic" Isles fans were actually in denial...So to are today's Jets' fans.