I don't think so - there is no need for us to think about new BTC logo, it's not the problem here.
Bitcoin logo is just fine as it is, it is simple, easy to spot differentiate from other crypto/fiat logos and clear to understand for everyone.
What is bothering me is fact that we have more than one "bitcoin' now and Bitcoin Cash has an awfully similar logo to old Bitcoin.
This might be confusing for the untrained eyes.