Growing up, my dad was a US Congressman (and later chief of staff of a different congressman's office and in retirement a minor functionary in the county tax office.)
I LOVED Yes, Minister and Yes, Prime Minister. To this day I ramble on about meeting minutes in attempted imitation of Humphrey Appleby.
I knew Jay and Lynn were onto something when my father watched 5 minutes of one episode and said "I ain't watchin' that bullshit. It's too much like work."
Speaking of chemistry, I caught the play at Chichester a while back (with different actors.) Perfectly good acting and perfectly good writing, but the "chemistry" was definitely different. Not better. Not worse. Just different.