I have a pretty diverse training load these days. Hiking, mountaineering, running, plus a few sports and some resistance. While I have overtrained in the past on running in particular, it was mostly due to lack of diversity. Nonetheless, none of those things puts the same load on the body as HIIT.
To be clear, I was objectively in good cardiovascular condition before adding HIIT. My resting heart rate has been in the 40s for years. The surprise was that there was so much easy margin left by adding HIIT to my regimen.