You are correct that both Wyoming and California are members of the Drivers License Compact (DLC) which means that the Wyoming courts will inform the California Department of Motor Vehicles (DMV) of this 6 mph over the limit speeding ticket if you pay it and thus are found guilty and convicted of the violation.
California is not a member of the NRVC (Non Resident Violators Compact) which requires state members to suspend the license of one of their licensed drivers if they fail to pay or otherwise legally take care of a moving violation citation from out of state. That does not mean however that CA would not take action, such as suspending your license, if you failed to pay an out of state speeding ticket just that they do not take part in this Compact that requires it.
If you do pay the fine for the WY speeding ticket than the court should advise the CA DMV at which point the violation would go on your driving record and be assigned a point. It does not matter that Wyoming does not assign points; California posts the violation conviction to your motor vehicle record and assigns points according to CA laws not WY laws.
According to the California DMV, if another state reports an out of state moving violation to them they will place it on your CA driving record. The CA violation point assessment list has an out of state speeding ticket listed as one (1) point on your CA driver's license.
Since this is only a 6 mph over speeding ticket you may see if you can get the WY courts to reduce it to possibly a non-moving violation that would then not be transmitted to California. The clerk of the court listed on your Wyoming citation should be able to tell you if this is possible or if there is a traffic school course you could take in order to avoid the ticket being counted as a conviction and being reported to California.
If you are convicted of the speeding ticket in Wyoming and it is reported to California it will go on your driving record and have 1 point assessed. This means that your insurance company would see the ticket the next time they pulled your MVR and thus may affect your auto insurance rates.
If your rates are affected by this out of state ticket you can contact us for a low cost car insurance quote.