Should they make a new AVP movie on one of the home planets?

No as it would be too one sided for whatever species planet the movie took place on. With empresses queens, and a queen mother running around predators would not be in for a good time, and with all the best predators with all the gear they could ever need aliens would get slaughtered

I think they should because I love AVP 3

Yes it is true either side would have a home field advantage but does Alien have an actual "home Planet" but what if they made a movie that showed how the predators first discovered the aliens that would make a good movie and one i would want to see.

  I agree with E123 omega>     that would tie some things together.

It's cool but it gives a home advantage so the other side would need a "boost" of some kind to be able to even things out.

yes i would like it. the pedatore ans alien homeworlds

I definitely say they should! That would be awesome. 

They should feature Yautja Prime or Xenomorph Prime and use Colonial Marines (possibly in Power Armor suits).