The core will have some effect on performance, but it should not be significant. The effect on performance is directly related to timing constraints. The timing core is capable of running at the fastest internal FPGA speed of the device you are using. For the timing core, the sample rate on the logic analyzer will determine how often data is captured. For state cores, the maximum sample rate will be the lower of the speed of the FPGA time domain being measured or the maximum state speed of the logic analyzer. All supported logic analyzers have state speeds of 200 MHz and greater.