It depends on how many lights your running, fan size and the time of the year ( high temps)
if your running a 6" fan and its summer and pulling 30c air through 3 hoods and then it goes through the fan its going to get really hot and could be a fire risk so you should push the air but IMO push air will reduce the air flow a little so the grow room will be a little warmer
(this is based on you having a good ac unit, air cooled hoods will reduce some heat and reduce the ac running cost as there very expensiveto run )
If you only running a single hood in the winter and want maxuim air flow you need to pull the air through the hood, ( so you can get the hood a few inches closer to the top of the canopy)
the low heat from the hood will not afect the fan and fans are built to pull air not push it, so the fan should last longer