I like to have a shower over in the T2 Plaza Premium Arrivals Lounge, as there are no shower arrival shower facilities in T5 that I am eligible to use. It always surprises me the length of time that it appears to take to get from the T5 EU passport holder border control, over to T2 via the free Heathrow express and the walk.

T5 certainly doesn't feel well connected when the act of moving from T5 to T2 seems to take so long.

As an aside, T2/3 always feels better connected because all Piccadilly and I think all HEX trains too, stop there whereas T5 and T4 alternate.