In the editor the matching opening or closing tag is being selected. Looking through the documentation I've found the method jumpToMatching(Object select) but I don't see a method to disable or enable this feature.
I would suggest hiding it with CSS. The only drawback is that this will globally disable all bracket highlighting, not just for HTML tags.
.ace_editor .ace_marker-layer .ace_bracket { display: none }
See a working demo below:
var editor = ace.edit("editor");
editor.setTheme("ace/theme/dreamweaver");
editor.getSession().setMode("ace/mode/html");
#editor {
position: absolute !important;
top: 0;
left: 0;
bottom: 0;
right: 0;
}
#editor .ace_marker-layer .ace_bracket { display: none }
<script src="https://cdn.jsdelivr.net/g/[email protected](min/ace.js+min/mode-html.js+min/theme-dreamweaver.js)" type="text/javascript"></script>
<div id="editor"><html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<style type="text/css" media="screen">
html, body {
height: 100%;
}
</style>
</head>
</html></div>