I think it is safe to say PD at this point have not done a good job with their approach to Race A - and their attempt to create a casual race that appeals to everybody has mostly failed, regulars have been turned away because it no longer counts to anything, and new/casual players seem to either avoid Sport Mode altogether (and thus do not see or care about race A, DR enabled or not) or, more likely, get bored as the race is the same thing for a week straight - something that is simply not interesting when it is a standard race.
Behold: My solution. First things first, return Race A to its standard form starting from next week. That's an easy one. Crossgen in dailies would also be nice, I feel like it is time for that for the sake of the bleeding player base.
Now, the meaty stuff. Illustrated by yours truly.
There's another dock in the bottom left of the world map that isn't used for anything. The other one is used for lobbies, so in my opinion - the following only makes sense.
I propose it is turned into a "Quick Race" option that pops every 10 minutes on a random track/car combination. This can range from tuning races, to BoP, to one-makes - the standard things you would see in Sport Mode, but displayed in a separate location as to not deter people from it, and have it marked up so people know exactly what they are getting into.
Have the timer displayed below the icon, so people know when the races are, and then have the category displayed beneath that so people can decide whether or not it's something that interests them - as to prevent people queuing up, getting a SF19 car, and dipping.
This of course also needs to be crossgen - it is pretty inexcusable to have a half segmented playerbase for no real reason - stability in GTWS events seems much better to me so if they are afraid of using it in dailies still, this is a perfect testbed!
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Disclaimer: I'm not an artist.