Now I DO raise Queens from FI queens - even Buckfast ones - and open mate them.
Not a lot - small scale 15-30 a year.
Generally the results in terms of behaviour and yields are acceptable. Approx 90% of the first generation are perfectly fine.
I cull the nasty/runny ones.
I try to produce as many of my own bees' drones to reduce the impact of " locally adapted" horrible nasty bees.
For a hobby beekeeper it keeps my costs down and the results are perfectly usable. But try that with the following generation and failure rates rise from around 10% to around 40% so it's time to buy another couple of F1 Qs - and raise Qs from the better of the two.
It's not breeding - I have far too few hives and not enough skills/equipment but it keeps me in usable Qs with minimal cost and maximum pleasure.
If anyone suggests I try breeding from our local stock, my answer is I'll be too old and incapable of beekeeping or be dead before I get any good ones.