Why I don't like HTML surrogate template engines

Preamble

Mostly it is about template engines (that hide away real HTML) in Ruby (as due to app runtime specific it is very easy to add pre-compiled "sweets" there, and everybody do it). But in general such tpl engines could exist in any server side language.
I don't like DSLs and abstractions that lead me away from the "origin". Ok, a careful reader have already got what will I write further :)
This post is not about "stop using it" or "it is bad", it is about "reconsider is it really so useful".

Let's start with examples

• Ruby: ERB, Slim, HAML
• Node.js + JS: JADE, Mustache, doT, Swig (it is unified now with Browserify or Webpack)
• PHP: Twig, PlatesPHP, Dwoo, Smarty

This just a small subset of all existing engines, that I have herd of, just to have an examples. Each language has it's specific, but mostly script web languages are good template engenes by themselves.

And I am really absolutely fine with most of them. Except those that force own HTML-replacement surrogate (it is Slim, HAML or JADE like).

 body
    h1 Markup examples

    #content
      p This example shows you how a basic Slim file looks like.

      == yield

      - unless items.empty?
        table
          - items.each do |item|
            tr
              td.name = item.name
              td.price = item.price
      - else
        p
         | No items found.  Please add some inventory.
           Thank you!

And now I'll try to explain this...