IIRC, it was actually Bell who invented & introduced this type of helmet back in 1968/69 or thereabouts - and IIRC they called it a '
Full-face Helmet' waaayy back then.

. These types of helmets have certainly been widely called '
Full Face Helmets' ever since my involvement with motorcycles, racing, & other activities requiring helmets became pretty serious in the early '70's, and even when I became more active in 'the design & testing of things' involved with the automotive industry, sports, etc... in my presence & experience, they've
ALWAYS been called '
Full Face Helmets' by the users
and by the inventors/designers/manufacturers of said helmets. :dontknow:
But as BBrucie mentions, the specific terminology you might chose to use to label any particular style of helmet isn't really important
just so long as the majority of those reading/concerned understand what you're going on about; altho I'd also argue that the differing levels of protection provided by the various types of helmets may be pretty important to anyone wondering/concerned about which is 'best' at protecting their heads - especially when we're talking about the differing levels of protection regarding head buffeting by side-on or cross winds.... which is really the point of this thread, isn't it?!?
Regardless of whatever term you might
personally choose to call them or whichever helmet style/type you might
personally choose to wear or not (excluding any discussion/consideration of the addition of the 'Adventure Rider' style peaks) then the modern helmet type which is currently most often referred to as '
Full Face Helmets' is likely to provide the most streamlined protection & therefore be the least effected by cross winds, closely followed by '
Modular Helmets', then '
Open Face Helmets', & finally by '
Half or Cavalry Helmets' (& there endeth the list of those I have experience with & so am considering re this discussion, but only cos I'm not considering any Off-Road or Adventure style Helmets or additions in
this particular discussion

)
That said, as canamjhb suggests, anything that increases the size & weight of the lump that your neck & shoulders hasta carry while you ride juuust might make you feel as tho you need to work a bit harder to hold said lump erect while riding in strong &/or gusty cross wind conditions, so choosing something that's fully streamlined &
lightweight, with a smooth profile & few protruberances or unsealed openings to catch the wind, cross or otherwise, as you ride is probably a pretty good idea!

. And I'd guess at just about any 'modern' helmet type being somewhat better at resisting catching cross winds than a peaked cap, but that's just a guess on my behalf, since I very rarely ride with
just a peaked cap on my head. :thumbup: