No need for seed for the "connections." In fact a seed investment can kinda screw things up because you're deal won't be as clean.
Only take on seed if you think it would improve your "funding profile" to VC's. So you need to evaluate 1. what your funding profile looks like now. 2. what it would look like after a seed investment. And remember more is not always better (meaning, sometime its better to show a little less results than more. ie "wow, these guys raised a $500k seed and still only grew at 2x...")
PM me if you want to talk about your current vc fundability (i'm ex-vc, current ceo of startup)