You can only go for web dev roles if your portfolio is good enough to compete with other developers. Your additional skills may help swing it for you if your competition has a similar portfolio or if they are lacking that skill set in the business. You may end up being re-allocated into a networking role due to a gap in resources which case you are primed to fill that position. I think you would fair better in a start-up or fledgling business where they would be happy with multi skilled people but in the corporate world it wont matter a jot. They employ what they need when they need so the chances are they will have a fully manned team of net-workers so to win a job here will be down to your development expertise.