Have been on here for a while because the Mini has been sitting in storage for the winter. It's back out now and I am continuing getting it back into shape.
I've only had the car for a couple of years and I have never heard how another mini engine sounds in person so I have no real frame of reference when it comes to how the engine should sound. That being said, I think the ticking coming from the engine is louder than it should be. I though the ticking may have been the valves being out of adjustment, but I re-adjusted the rocker arms just last year and it didn't seem to really change anything.
The ticking is less loud when the engine is cold and gets noticeably louder once the engine has come up to operating temp. The first video link is the engine running when cold and the second is once its warmed up. Would appreciate if someone who has a little more experience would be able to tell me if something sounds off.