Really the only differences between personal and small business CCs is marketing and some buyer protections. The main benefit, as you point out, is keeping expenses separate for easier bookkeeping. Go ahead and buy GCs at 5x with your Ink for personal use.
(As an aside, do you have the Ink Cash or Ink Plus? They both earn Ultimate Rewards points so if you have the Plus you can transfer to United, Southwest, Hyatt, etc. and they're not strictly Cash Back.)
Related question: do you account for the CC rewards when filing taxes? I've read lots of people say that personal rewards are a rebate and not taxable, but other people say that for a business it lowers your cost basis and should be accounted for. If you have a CapOne Spark and get 2% cash back, everything you buy should be discounted 2% when calculating taxes and similar for other rewards CC.