With both eggs and method k, you advance it to the exact frame. Here's an example (purely hypothetical since I am at work and have no access to RNGReporter). Say your desired frame is 125. Leading up to it, RNG Reporter shows you the following pairs: 115:K; 116:K; 117:E; 118:P; 119:K; 120:E; 121:E; 122:E; 123:P; 124:K; 125:E;
When you call elm, the response shows you what frame you are on BEFORE it advances the RNG, THEN it advances. Start from frame 115:
Call, response: K ---frame is now--->116;
Call, response: K ---frame is now--->117;
Call, response: E ---frame is now--->118;
.....
@Frame 122
Call Elm, response: E ---frame is now--->123;
Call Elm, response: P ---frame is now--->124;
Call Elm, response: K ---frame is now--->125; ***
STOP. This is your target frame, so close the PokeGear and encounter your Pokemon. Notice that frame 125's response, E, is irrelevant, and if you get it, that means you've gone one frame over. BTW how many frames were you off by?