Speed is speed. There is nothing in the Me262 that makes in inherently uncatchable. An Me262 doing 400mph will indeed be caught by many piston engined fighters that have some altitude on it, including the Ki-84.
Below 5k there is very little that can ever catch a 262, being the air is much heavier - piston engines slow down faster if he's doing 400 he will be fine - you have an extremely SMALL window to start diving and pop 200 behind a 262, thus being said
I've been bounced 50 times, never once got a single ping on me, from planes above 5-10k, it all comes down to the pilot and how he flies it.
Most note worthy was Hoagi who dove on me from 10k to 2k in a F4u-4 which I simply pulled up into a climb when he was 800 behind me, waited till he started stalling and I winged over to kill him.
I'm not saying a 262 cannot be killed, I was fortunate to kill one the other night in a Yak-9u - I happen to timed the dive correctly, and the player was making a small 180 turn in which he got below 350 and I nailed him.
Mistakes will happen, not everyones an ace in a 262.