Solution
When handling a pulsed signal, you will have two states. Either on or off. When the signal is on, the switch perceives the full power, which would be 84 V * 2 A = 168 W. This value is too high for the card and shouldn't be route through the switch. Therefore, even if the duty cycle changes the average power of the signal as a whole, from the switch's perspective, you cannot multiply the power by a duty cycle factor.
In addition, in some cases it might be possible to carefully time the signal and the switch's operation to only toggle channels during the low part of the signal's duty cycle. However, the relays generally take a couple of milliseconds to toggle. Therefore, it is strongly recommended to pause the pulse before toggling the relays.