Secondary tabs order reversed in LTR

Was fighting with the order of secondary tabs made created from Panels and figured out that the Seven theme in Drupal 7 is showing them reversed. They are displayed correct in other themes like Bartik and Rubik. They are displayed fine in RTL though.

Checked the CSS in Firebug and it looks like the "float: right" on "ul.secondary li" is causing the problem.

ul.secondary {
  float: right; /* LTR */
  font-size: 0.923em;
  padding: 0 3px 5px;
  line-height: 1.385em;
  overflow: hidden;
  background-color: #fff;
}
ul.secondary li {
  margin: 0 5px;
  float: right; /* LTR */
}

It's working fine in both LTR and RTL when "float: right" is removed or set to none. Not sure which one is the correct CSS approach.

Attached a D8 patch setting float to none.