Will generic earphones allow basic inline remote / mic capability on my iPhone 6?
Yes, generic earphones/headphones/earpods will work fine with an iPhone.  I have several non-Apple headphones and earphones from various manufacturers and they've all worked, including the play/pause, ff/rw, volume buttons.

As long as you purchase from a reputable company and manufacturer, like you've indicated in your question, you'll be ok.