Just to clear things up, I'm taking about something to put away while im travelling around on foot. It might not even be between permissions could just be walking around one big permission.
if you have permissions then no problem travelling between them you have good reason when in a public place (was the while hiking that throws the question ie lands end to J O Groats )
if your on one then you can carry unpacked even on the foot paths as you have permission to be there
the TDR is light and packs small the Verminator is small ish but i dont really consider it a take down rifle and not really light weight both arent cheap the Verminator especially is very pricey and both are limited by the air tank the TDR being a lot smaller so a lot less shots