Probably the strongest argument against this is that Isengard didn't start out as Isengard! Its first mention (Home VII, 'Of Hamilcar...') is as "Angrobel (or Irongarth)". No Isen in sight!
Helm's Deep is even more tortured: it looks like it started out as Dimgraef, then picked up a Helm figure - as Heorulf's Clough. It took several iterations (Helmshaugh) to hit Helm's Deep, so unless Tolkien is imagined to just happen to glance up at a map of Jutland and go 'hey, that says "helm" too!' there's no plausible version of this notion.
hS
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