First, I did not know that there was Car Fax for cycles.
Second, Car Fax will only show if an accident repair was reported to Car Fax. If a body shop does not submit the repairs, it will not show up.
Third, If you do get a Car Fax report and it shows that the vehicle had major damage, or flood repair, it is probably correct. I cannot imagine anyone falsely submitting a repair to Car Fax, as it could possibly lower the value of the vehicle, depending on the amount and type of damage.
Myautohistory does not seem to show anything for cycles that I could find.
I just searched CarFax and here is some info that might be of interest:
"There is no specific Carfax for motorcycles because Carfax does not have all VINs in their database. However, sometimes, you can find information on a motorcycle if you search its VIN on the Carfax website. You can get a full report on a particular motorcycle, or you can get some information.
Carfax generally only provides the history of cars and light trucks, but the occasional motorcycle can get listed in the Carfax database. If the motorcycle you’re interested in is not listed in Carfax, then you will have to gather information about a used motorcycle yourself by doing some research on your own."