You have a couple of problems. I am hoping that the original comp was set to the same frame rate as the Hyperlapse. If not, that is part of your first problem. The second problem is that you don't understand the relationship between frame rate, time, keyframes and frames and overall time.
If the original comp frame rate matches the original frame rate of the Hyperlapse, check interpretation or the info to the right of the thumbnail in the Project Panel with the footage selected. If it does not match and you are happy with the stabilization then render an image sequence (preferable) or a visually lossless production format movie.
If you want to change the running time of the comp, changing the frame rate of the comp will not do anything to the length of the footage. Changing the frame rate of a comp will change the timing of the keyframes in relation to the original frames in the footage. Let me try and explain.
If you change the frame rate of the comp then the length of the imported clip does not change. One minute of 30 fps footage in a 30 fps comp is one minute long. One minute of 30 fps footage in a 24 fps comp is still one minute. The difference is that the frames have to be blended, doubled or otherwise merged to render the new frames in the comp. This puts the timing of your stabilization off for two reasons. First, keyframes are set at the start of each frame based on Time. When the composition frame rate is changed the keyframes are no longer at the start of each frame, they are at the original time of the start of the original frame.
Did you follow that? If you did not start a new comp at 30 fps that is 2 seconds long, add a solid and a position keyframe, move down 6 frames and set another keyframe. Zoom in on the timeline so you can see the individual frames. You will see that the keyframes are exactly at the start of each frame. Now change the comp frame rate to 24 fps and check out the position of the keyframes. They are no longer lined up and the keyframe that was on frame 6 is now happening at frame 5.
So you have at least 4 options.
- Render an image sequence or a suitable DI, re-interpret the footage to 24 fps so you can render a 24 fps movie and accept the time change and get every frame you stabilized in your final movie accepting the different playback time.
- Change the frame rate to 24 fps in the Render Settings of the Output Module and let the renderer blend the frames and accept the same time for your clip and blended frames.
- Nest your original stabilized 30fps comp in a new 24fps comp and accept frame blending.
- Start over by first interpreting the footage at the frame rate you want to use, match the comp to the frame rate, stabilize again and accept the time of the rendered composition.
I guess there are a half dozen other options. The important thing is that if you change the frame rate of a comp you will change the frame number of many of the keyframes applied to that footage. It's a bad idea.
I just thought of one more thing. If the total lengrh of the footage (Hyperlapse) is the concern then adjust the interpreted frame rate of the footage until you get the right length. Now put it in a comp that matches the frame rate of your final movie. If these frame rates differ you are going to get some blended frames but in most cases, and especially with Hyperlapse, nobody will ever see them.