That sounds pretty much like what I've read. At least one USAAF P-47 intercept of Me262's mentioned how lucky he was to catch a pair of A2's down low and slow, probably short on fuel. As soon as his .50's let them know he was diving on them, the one he didn't flame took off, climbing at a speed he couldn't hope to match and disappeared.
And I thought the majority of of Me262 fatalities were groundfire, misadventure and bomber's guns and ground attack aircraft, the greater portion of those shot down by fighters were at their airfields before those wrongly assigned high altitude Focke Wulf things were stationed to protect them when they were vulnerable (they could've used F-8's or Gustavs for that and let the whatchamacallits do their high altitude intercept job).
It's been a long while since I've read all this stuff though so I don't trust my memory too precisely.
And I thought the majority of of Me262 fatalities were groundfire, misadventure and bomber's guns and ground attack aircraft, the greater portion of those shot down by fighters were at their airfields before those wrongly assigned high altitude Focke Wulf things were stationed to protect them when they were vulnerable (they could've used F-8's or Gustavs for that and let the whatchamacallits do their high altitude intercept job).
It's been a long while since I've read all this stuff though so I don't trust my memory too precisely.