I've complained about this before, but I've seen dozens of makeover reality show episodes (various series, not just one) where the person in question was damn near savaged by the style experts because they DARED to go to the fucking grocery store in sweats and a tee.
Like, I get that it can be helpful for self-esteem and confidence to dress your best and have the outside reflect what's inside, but if you're out for 5 minutes grabbing some cat litter and a frozen pizza who gives a fuck? You're out running various errands, shopping for new clothes, getting a bite to eat, etc.? Ehh, maybe dress in a way that implies you've bathed and freshened up or something, but you don't need to be clubbing-ready.
As for OP's example: I think jogging pants are fine, especially how the pic shows them. Now, if you're out in tiny running shorts, a thin tank, running shoes, and a sweatband? It may seem odd because it looks like you specifically geared up for training/running/etc. At the end of the day tho, people should dress however they want and not succumb to social pressure unless what they're doing is obviously problematic.