I'll look at the pics later but I had H&R comforts on my Corrado many moons ago, and they blew after only 2 years' use. I knew something wasn't right as the ride became very crashy, torque steer got worse, steering twitch got worse, tramlining got worse etc etc. Just nasty and vague to drive in general. Sure enough, once removed for inspection, they were wet with oil.
I don't know if they still are, but H&Rs monotubes were actually Bilstein B14s with their own springs.
I hate to say it, but monotubes aren't the longest lasting of dampers, but in any case..... there should never be oil leaking from a damper, not from any part of it. Weep hole at the bottom? WTF??? It's not a water pump with a bearing failure relief hole. Oil is the guts of a damper. It's definitely not normal to leak it away!
Anyway, if I confirm your pictures are the same as mine were later on, they've definitely blown. It sounds like they're fobbing you off.