I also like to consider viruses when thinking about this question:
Are they only not alive (AKA dead)?
Are they only alive when infecting a cells and then not alive when the complete virus is outside of the cell?
Are they alive all the time?
A related question might be is a frozen cell (which could be revived by thawing) dead or alive?
I like to consider frozen cells and viruses alive (but maybe in suspended animation) all the time (till destroyed) since they can both reproduce when in the right environment (which for a virus would be in a proper cellular environment).
However, I could certainly understand someone saying "no it has to be a cell", but I would say the virus has a cell that it takes over.
Given that they have mutable genetics, this allows evolution.
There are lot of things that are relatively inert but then "spring to life" in the right conditions (like seeds and spores).
To me, these could all fulfill
@Ygggdrasil's list of requirements, but only at certain times.