Ah okay. I’d somehow conflated this to being work desktop and personal iPhone, hence my suggestion. I now realise that it’s the iOS device that belongs to work and block’s iCloud 
If this happens to be a one-off or infrequent process, another option might be to concatenate the files with separators, import one “mega draft” into drafts, and then use a split-based action to generate multiple drafts from it. That could cut down the workload massively.