It does seem a little odd that these tyres apparently go down so easily. When I was using my Brompton for commuting, I doubt I pumped it up more than every couple of months (fairy visitations aside), and my trailer rarely needs pumping up. In fact, I just leaned across and checked the pressure in it, and it feels fine, and I haven't used it for probably three months or more. As far as I can recall, neither of the tyres are particularly unusual, although I rarely go for the el-cheapo brands of tyres, so they're probably reasonably good brands (Michelin at a guess). They've both got Schrader valves if that has any possible bearing.
(I'd like to point out that at this point about 95% of my belongings are in the living room, in boxes, so it isn't that odd, albeit not the norm, to have the trailer quite so close!)