I know this is a well rehearsed topic, but I am wondering how my work
journey home would work with this.

I get on at Ealing Broadway which necessitates a touch in.
Take first mainline train to Paddington.
Arrive at London Paddington - nowhere to touch out.
Get on Bakerloo Line at London Paddington - necessitates a touch in.
Get off at Swiss Cottage - necessitates a touch out.

This appears on my Journey History as two journeys: the first
unresolved, the second just a normal tube journey.

The only way round I can think of is to ask the people at the gate at
Ealing Broadway to let me in without touching in.

Have I got this correct?