I think our cover is Visqueen, the thickest and semi-opaque. The previous one was clear. My first observation is that I can no longer see out with the opaque cover and as we have an amazing view from our hilltop, I really miss that when working inside the tunnel, so when this cover needs replacing I shall probably go for a clear one.
I suspect that the opaque cover might help with reducing heat loss at night when it's very cold, but I've not seen that mentioned so far. I have though seen it advised ( I think by the late Bernard Salt in his polytunnel growing book) to allow the condensation to build up on the inside of the cover on nights when frost is forecast, and that will help reduce heat loss. I assume that the opaque cover may act in the same way
We live in a very cold, windy area so summer heat is rarely a problem, and we deal with any build-up which does occur by good ventilation - we have large louvres at both ends and can stand the double doors open. More important for us is to get sufficient light in to ripen crops such as tomatoes. You probably won't have this problem in the Midlands.
I think all told, for our situation, I prefer the clear cover.