To be pedantic, if you mean this sentence: > But surely there’s a tattered nobility to valiantly fighting wars that we know we can’t win. That's not a split i

To be pedantic, if you mean this sentence: > But surely there’s a tattered nobility to valiantly fighting wars that we know we can’t win. That's not a split infinitive. It's just a regular proposition "to" attached to a gerund phrase(?) modified by "valiantly".