I don't know about Ohio, but youth hockey (5-14yrs old) isn't all that affordable. The travel to weekend tournaments alone is costly, motels, dining, extra activities, etc. Not to mention the various kick-in funding by parents for ice time and ever being grown out of equipment. Travel to practice, and car pooling duties all are a major commitment by parents, which is much less in H.S. organized hockey. It was well worth the cost and commitment for us, but your experience may vary.
But the difference in my mind with youth football and youth golf is the different types of venues. Most all towns, villages, counties, etc, have park and rec fields for play, where the youth leagues can organize and play, from Pop Warner to other various team programs. Unless you have a very enlightened municipality owned golf course, with a very liberal green fee or summer pass policy, I think a comparable is that youth football would have to go to formal stadium facilities to play, like having to go to a formal and private golf club or facility.
I also don't see the PGAjr link being taken up much in Robert Taylor Holmes apts, or RR 1 Keokuk IA. Yet, even the disadvantaged by socio-economic or rural circumstances can go to a nearby ball field and play football or other community team organized sports, or pick-up games.
Personally, I don't think the wave of injury fear is being presented in proper context. The kids are more susceptible to danger, injury and death on their bikes and many other daily activities. My own personal youth football experience wasn't the same as some of the manner it is organized now, but my community had tackle football starting in 6th grade- 8th grade, then on to Freshman H.S. and then J.V. or Varsity 10-12th grades. Sure there were injuries. Plenty of broken bones, ligaments, and concussions. I do know a couple of kids that had lifelong knee injuries. I had broken wrists twice - still stiff and achy at times. Mucci might say the several hits I took to the head, having been rather undersized in H.S. (believe it or not) may have effected my thinking ability now. But, I can still count by 2s and generally add my golf score correctly within a slight margin or error.
So, I did encourage my kid to play hockey (he wasn't interested in football) but I'd have encouraged him to play that too. He never expressed any interest in youth golf, and if he did, it would have been the biggest issue of inconvenience getting him to the courses. I know many of his buddies wouldn't have been able to afford golf either, not to mention logistics.
I don't think it is a bad thing to get knocked on your ass or get a little disoriented rap in the dome now and then growing up. Proper coach training to spot concussion symptoms and perhaps rule modification and coach seminars teaching proper techniques seem the best answer to me. That isn't the politically correct answer anymore, it seems, but I'll take the heat for thinking that way.