I am one of those on 118.82. Thank you for your kind words.
We work to standard procedures and levels. We see you on radar on departure and coming towards the stacks. If you have not checked in, because it is too busy, don't worry too much we know you are there and can see you. We will call you ASAP.
When you first check in to UK Airspace you are given your route and SID info, it would be great if this info could come on a data-link. Do all aircraft carry ACARS ? I wonder if a link like that could be used. It would certainly cut R/T TX.