Of course it will help.
Bronze members always have had prioty before general sale. As the only other seats sold are to season ticket holders, becoming a bronze member ensures a priority period for every home game
If you wanna be sure of getting a ticket to the big home games, I think Bronze membership will be essential. Depending on the numbers who take a bronze membership it may be that some homes games don't even get to a general sale.
It certaintly won't hinder you for away games but many will not...