Yes. The load should be constant regardless of the transport state.
Like any mixing console, Ardour always processes data. This is also useful to prevent overloading the machine. There won’t be sudden spikes just because you press “play” or live input.
PS. Rather check DSP load that you should check (top right in Ardour’s status bar). That indicates the ratio “time used to process vs. time available”. CPU is rarely the bottleneck.