Quick Chrome for iOS Question

Been looking for this and couldn't find an answer.

The problem:

I search something on Google search and I click a link. I go back to Google and tap the search field and my recent search is there in bold purple with the clear history link at the bottom.

Is there anyway to disable saving search history on chrome for iOS?

I have web history disabled on chrome for desktop and it works fine.

I'm logged into my Google account on chrome so my settings are the same as desktop.

I don't like seeing my recent searches right at the top when I start typing and it is ahead of the suggestions.