Neither dog is a breed to be left outside. My boxer loves to go out, and normally I have to force her back inside, but I would never leave her out there. In the summer she goes out with us, and when she is hot she finds a shade tree, in the winter I have to force her in so she dont freeze her feet. She absolutely hates water other then the bath tube. She will jump right in that, however she will not go in lakes or ponds(she stears very clear of ours).
These days she is getting less outside time with us as the neighbors have threatened to shoot her. One of our other dogs got out and went to their place, Bella followed, and the little dog went for there big dog. Nobody and nothing was harmed. Bella stays home if she is out by herself, but everytime they see her out they threaten to shoot her. I tell them go ahead, I know the laws and they will regret it. I also said I will remember that when there dog runs out to my horses when I am riding on the road, or runs over to our place when we are out(apparently his dog shocker he over uses doesnt work much).
I have never owned a pug, but have been around many. Just not my breed. I like an active dog tho.