No. I think that you’re absolutely correct. The products should have charge conserved. After initial attack of hydrocarbons by H• radicals, H2 is likely to be a significant product. Supposing STP, it would likely remove itself from solution, leaving the fresh radicals to chain react and probably making interesting and unhealthy things.

My apologies, I’m out of the lab and field 15 years now so, do make some pretty basic mistakes at times.