I'm not necessarily begrudging the Str tax (although it's freaking annoying to have to take a feat for decent AC), it's that HAE takes an additional feat over Chain for little to no benefit. If you're not a Dwarf, it's likely HAE won't help at all, and even if you are, you're not likely to get much better AC than Chain until Epic, since heavy armors scale on their own.
The bit that tweaks me off is how incredibly not better HAE is for a Shaman than Chain, (same stat tax, +1 feat tax), considering chain is fairly unthematic.