Does the Chrome for iOS icon need updating?

So, I was looking at all of the Google apps that I have installed on my phone, as well as some of the Google apps available on the App Store, and I feel that the Chrome for iOS icon is distinctly separate from the look and feel of many of the recently update Google apps.

Here is the current Chrome icon:

Chrome_icon_medium

via cdn.appstorm.net

Let's compare that to other icons for Google properties:

Google Search

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via i.imgur.com

Gmail

New-gmail-app-icon_medium

via media.idownloadblog.com

Hangouts

Nxblo8j_medium

via i.imgur.com

Google Maps

Kabqfly_medium

via i.imgur.com

Google+

8qk6awb_medium

via i.imgur.com

Google Currents

Google_currents_medium

via 2.bp.blogspot.com

The Chrome icon is using the a design language similar to older iOS apps from Google, and I think that it a) doesn't fit with Google's current design aesthetic and b) is just visually unappealing and uninteresting.

Do you think that Google needs to update the Chrome icon on iOS to better match their recent design changes? What should a new Chrome icon look like?