<input> has never affected the button order. It also has no concept of primary / secondary button and for the better or the worst, has by default the styling the browser wants it to have, which might look like the native buttons of the current OS, or the native styling of one of toolkits anyway. System colors are not supported consistently too (although I'm discovering CSS4 a has interesting features [1], neat, but Chrome is lagging behind)

[1] https://developer.mozilla.org/en-US/docs/Web/CSS/system-colo...