Test it and see!
Victor Campenaerts tested faster with no visor.

I tested it way back in the day. The visor made a very large difference on me. Something like 10 watts IIRC if I didn't use it.

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Positive or negative?

With the obvious caveat that helmet aerodynamics are very individual, The rule of thumb I've heard is that without the visor the aerohead is roughly equal to the best aero road helmets (ex. Evade).

The aerohead (similar to a lot of new aero helmets like the new Lazers ) relies on the visor to provide ear coverage.

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Related topic: anybody have any new best practices re preventing fogging on that visor? I know some like RainX

I used to use the Fog City version of this in my motorcycle roadracing days. They were the original & great. These effectively create a dual pane lens, trapping air between to reduce/elimintae fogging. I haven't had to use on on my Aerohead, but the Fog City or this will be my first go to...

Amazon.com: Progrip Light-Sensitive No-Fog Helmet Shield Insert (Clear) : Automotive

Just use the antifog spray from your swim goggles.

I tested it as ~0W at 0 yaw and a few watts at yaw. I do not wear it for fulls ever or hot halfs.

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Dimond Bikes Superfan