Are you joking,trolling, or just being provocative?
A private woodland with permission is one thing. But a public footpath with what is classed nowadays as a weapon ie fixed blade over 3" long ?? I'm not going to walk up to a man and ask what he's doing. Is he just clearing a footpath or taking his frustration with something out on a log with the possibility he might turn it on me! Yes I would make that call. If he's legit then no worries. If he's not......I may well stop someone else getting seriously hurt or worse. What a stupid comment!!!!
Speaking personally, I agree with @Janne's comment and think yours is an over-reaction. I don't automatically assume if I see someone on their own in the woods with a chopping tool minding their own business that they are a possible gang member or serial killer. However, that same person in a street setting looking confrontational would certainly require reporting. Surely context is everything.

I have a small Silky saw that's been very useful for clearing smaller debris off the footways and have a few bowsaws hanging in the garage but when I've used them previously they often got stuck in the wood and had to be rescued by chopping at the other side with a the silky saw. Just one the reasons I thought a chopping tool might be a better idea as they're much less likely to get stuck.