I had my THP (traditional, not MIS) on Jan 16, so it will be 4 weeks in two days. I did not have any pain after surgery unless I moved on it. I had no need for painkiller and the rehab started the day after surgery. I am concerned for you and your pain. One thing that caused me some pain that was unexpected when I got home was the swelling. For 2 days my leg was at least 50% its normal size. My rehab therapist told me to put my leg "above my heart" ( I did it twice a day for two days and almost ALL of the swelling went away and I lost about 8-9 lbs if water weight, peeing my brains out.) There are so many things that could cause pain and I agree with those that say get yourself seen by your doctor. I did "hurt" during rehab exercises, but did not hurt very much any other time. I am walking(gingerly and with some hip "sag") without aid now on the level, on stairs I use a cane.
You do say that the "pain ok at leisure only". I think that's a good sign. My worst pain was when I started PT, sometimes it was excruciating. I would talk to the PT and she would change the exercise to halve the pain. In a couple of days, invariably, I could do what had been excruciating. There were times that it was muscle pain (work through that) and other times it felt like nerve impingement in the groin (we worked around that). As I got stronger the nerve impingement pain has greatly diminished.
Bottom line, talk to your doc, talk to rehab PT, but do not just sit and wait; that's my suggestion.