And they do, are you asking for transport to be laid on to ferry them across the channel, or perhaps regular flights to any country asylum seekers choose to leave from flying directly into Heathrow perhaps?
What's your definition of a 'safe route '?
One that is safe to use. We've had them for Ukraine and some people - mostly youngsters I think - from Syria.
It's almost laughably straightforward. We set up a system for them, maybe 'in country' but if that's not safe then nearby, where they can present themselves with their story and documentation, undergo any necessary biometric information gathering and, if they meet our criteria we give them leave to enter the UK. We saw it dome in Ukraine and, albeit in massively messy fashion, Afghanistan.
They may then travel here either on commercial flights or, if that's not do able the UK government would charter planes to fly them here or use the RAF. That's what they did for Syrians (charters) and Afghans (mostly the RAF).
Why are we not doing that now in, say, Sudan?
There's nothing to stop HMG establishing an office in France where people with a case can seek a permit to enter the UK. Not a free for all; you need to show (eg) family or similar connections. If approved you're put on a bus, the bus goes on the ferry.
It's not difficult.