The true scandal of T5 connectivity is surely the cost of the Heathrow Express.

i usually take a minicab for ~£30 rather than the HEX, even though I live less than 5 minutes uber (10-15 mins walk) from Paddington. Unless we book a long way in advance, or are travelling at the peak of the rush hour, it seems ludicrous for public transport for 2 people to be £20-£30 more than a taxi.