You are correct. That jet was not scrambled, it was vectored. POTUS has air cap in situations like that. How do I know? I live in PA, about 30-40 miles WSW of Trumps Bedminster, NJ golf club. When POTUS is there, we have hours of fighter jet traffic over head, as they loiter and fly circles at low speed, waiting to go in if needed. They fly at about 2000 feet, Ive seen both F15s and F16s, all loaded for bear. They come over our house about every 15-20 mins, just loafing along. Awesome sight, knowing they are ready to kick ass if needed.
What would really impress the hell outta me is seeing some A-10 Thunderbolts doing low fly-bys on a continuous basis. IMHO the most badass plane that shouldnt be able to fly but has been for decades. BRRRRRRPPPP....!