I would expect that the smoke detectors would alarm faster than a
similar heat detector. The smoke detector is just based on the local
temperature at the detection position. This may be a ceiling jet
temperature (if it's turned on) or the upper layer temperature if it
is not. At the moment, it is not based on the smoke concentration.
The heat detector is determined by the link temperature of the
detector. The RTI value determines how fast this link heats with
input from the local temperature and velocity at the detection
position. Thus, this will take longer to heat up than the equivalent
smoke detector.
You can think of the smoke detectors as a heat detector with an
infinitely fast RTI.