Word for "in the ongoing sense"
There are words to help with such things, and you've used some already: imminently, eventually, continuously, generally, and so on. These are sometimes called adverbs of time.
You might even get away with ongoingly, defined as:
In an ongoing fashion.
In addition to ongoingly, continuously, and generally, other adverbs of time encoding indefinite but ongoing frequency include: regularly, habitually, and normally.