My guess is you will likely be at greater risk from traffic than untrustworthy people.

Would they be equally concerned if you were biking/camping in your home locale?

Life is uncertain, but doesn't hurt to practice some situational awareness, and for traffic avoid doing stupid things (e.g. biking at night w/o any lights). However, my own experiences like others have mentioned here wouldn't cause particular alarm. I've biked in all 50 US States including Oregon to Maine once by way of North Dakota.

As far as people pestering goes, that is pretty far down the list, but can only think of a few situations:
- Cycling through Homestead FL (not on your way from OR to ND unless you were to get lost ), folks did cycle along with questions about "how much does that bike cost" type questions. Not by itself alarming, though wasn't necessarily where I'd start conversations, so mostly brushed them off and left
- Cycling across Russia, there seem to be a few more "town drunks" that found us fascinating, and having only basic language skills, didn't always know their intent, so brushed them off.
- Camping in US, no real issues, though animals can make interesting noises at night...

I am large and male, so that likely also helps with unwanted attention, but the sorts of risks you mention above hasn't been an issue for me - and again think the risk of traffic is probably higher.