Just saying - the new Corollas are what tends to annoy me (and I like the cars) - mainly when one is behind me and it hits a dip in the road and is going uphill when I am level so the light reflects into the rear-view mirror.
The new Corolla headlamps put out quite a bit of light, keeping light out of the glare zone. As with any high-performance headlamp, there will be instances (such as in your particular illustration) that your rear-view mirror becomes the target of the headlamps, rather than the roadway and the objects that would be ordinarily outside of the glare zone and in the main beam. There's also the potential for more specular glare-- the light reflecting off of the road surface itself.
Not stirring the pot, but I think we are also mis-using terms.
You are referring to true fog lights.
Most cars DO NOT come with fog lights - what the OEMs and most lay-people call fog lights and want for fog lights have a white beam and tend to light up the outside of the road and would more properly be referred to as DRIVING lights.
No, what the OEMs call fog lamps are fog lamps. For the North American market, they build them to conform to SAE J583 (for a time, there was an SAE J2510, but that spec is now part of SAE J583.). The lenses will be marked F or F3-- fog lamps made to the old SAE J583 spec will be F; if made to J2510 or the current J583, will be marked F3). (F2 is reserved for the *rear* fog lamp; the F is for "fog", not "front".) (Whether the fog lamps perform *well* is another story; there's quite a bit of room in the standards for objectively good and objectively poor fog lamps.)
What people colloquially call "driving lights" are actually "auxiliary high beam lamps"; *no* cars come with auxiliary high beams. Auxiliary high beam lamps are made to conform to SAE J581, and will be marked with a Y.
Occasionally, you'll see references to "fog/driving lights" in marketing material, such as from Sylvania; marketers' misspeak often ends up in consumers' vocabularies, but when their vocabulary differs from the official designation, it is the official designation that is authoritative. (For example, when Nokya claims there are two H16 types. Nokya is wrong-- there's only one H16, not two, yet the notion of there being two H16s starts permeating the consumers' minds.)
Not sure if that changes your feelings on how/when they should be used and would appreciate your comments ...
It doesn't change my feelings about when/how they should be used-- fog lamps are fog lamps, for low-speed nighttime fog/heavy rainfall/heavy snowfall -- not for daytime use. They aren't for spotting deer on the shoulders of the road, they're for picking out the lane markings so you don't end up going off into a ditch or crossing over into oncoming traffic.
Auxiliary high beams are used in conjunction with the factory high beams, only at night, only in *clear weather*, and in the absence of other traffic.