I seem to remember Bowfer saying, either in this thread or a related one, that nobody would think you were flashing them as you drove down an avenue of trees, because of this delay. Except, I agree with you, I don't think there is a delay with the MG4, and it does flash. I think that's part of the problem (although not all of it.)
I have not tried going through a tunnel without the standard sensor cover, but I noticed that when my car was parked in my dark garage without the sensor cover on at all, and the nose literally inches from the threshhold and bright sunshine, the lights were on. This give me confidence that tunnels are likely to be OK.
I only took the original cover off a few days ago, and all I have observed since is that when a journey has started as little as five or ten minutes after advertised sunset time (that is, lighting-up time), the lights have defaulted to "on" and stayed there, but they have not come on at all in normal daylight conditions. Nobody else who has done this has reported any annoying behaviour, and I feel reasonably confident that the fix solves the problem.