The Copy Activity allows you to specify a batchSize
parameter when moving data to and from data stores. However, when using the REST connector, the behavior can vary because the REST API may not support batch processing in the same way. If the InfluxDB API supports batched posts, you might need to ensure that the data is being sent in larger batches. This is typically controlled in the body of the POST request. You can check this old thread : https://salesforce.stackexchange.com/questions/15431/rest-api-queryoptions-batchsize
By default, ADF might not be using all the available DIUs for your task. You can increase parallelism in the pipeline settings, which should allow you to process more data simultaneously, provided that the InfluxDB endpoint can handle the increased load. (https://stackoverflow.com/questions/72902650/increase-parallel-copy-in-azure-data-factory)