You don't specify your equipment, but I tell this:
I answered this question where the conclusion on that case was that the given equipment had support for several types of voice input devices.
Then I found this comment stating two other 3rd party services on (IFTTT and Alexa) CAN command the equipment ok. So the case with GoogleHome and Alexa would most probably be the same.
Their site tells also the integration are made so that 3rd party device speaks their protocol and not other way around. That implies it is not taking too much effort from device to listen several inputs.
Generally the IoT equipment would need support for those multiple input protocols, or then the input devices should adopt to the protocol of the device. I have no experience on hubs, but have a gut feeling it would help in this case.