The ASME code is set up for "typical" use, which by its nature is subject to some cycling, but isn't precisely defined.
As a result, it is commonly the end user's decision as whether to treat it as a "high cycle" analysis or not. Some people might say the cut-off is 1 million cycles.
If you have the cycles information, I'd say just do it. If you don't have cycling design criteria, then press the end-user / project manager that if they want it, they need to provide the information.