I believe this is worth throwing out there...I don't hoot at owl "hooting" times very often. I hoot after flydown/mid morning usually but am not scared to use it mid day.
My typical hunting style is running and gunning on public land so there are times where a turkey has moved off and in moving positions myself, I need to know where that gobbler is without drawing attention to myself and being a "hen". I'll usually hoot in these situations just to get a shock gobble out of them.
I don't think it's at all unnatural, as they just gobbled to it a couple hours before, I'm not blowing their ears out, and I'm not trying to call them in. It's simply just a way to locate them so I know my next move.
Like anything else, it doesn't always work, but even if it doesn't work, I'm very confident I didn't spook the turkey with it. I do think turkeys are sometimes spooked when you blow their ears up with a loud, crow call.