If you want to match cut from footage at one speed to footage at another speed, you're doing it the right way; just use an edit.
The time remapping tool is for simulating in-camera speed ramps, where the frame rate doesn't
click from one setting to another, but gradually changes over time. Seen any Wes Anderson movies lately? He loves to use an in-camera speed ramp during the closing sequence of his films, where the action in a wide shot (I think it's a dolly shot in "Rushmore"
starts out at normal speed, then over a second or so slows down to slow-motion.
Most digital cameras don't support in-camera speed ramps, so the effect can be faked by shooting everything at high speed, then adding the ramp in post. What you're describing is the reverse; you're shooting everything at normal speed, but simulating an undercrank and then ramping up to normal speed.
The key idea is that time remapping is really for speed changes
over time, not for abrupt changes. For that, it's easier to do what you said: Just match-cut two clips at different speeds together, and the action will
snap from one speed to the other.