In principle I would yes but it isn't that difficult either practically or financially for me to do, lots of caveats though.
I need to be convinced that the person ringing me up is on the level and a official contact tracer and if they don't tell me who I might have got it off then they are going to have a hard time convincing me straight off the bat.
This is bound to offer opportunities for scammers/hoaxers/people with personal scores to settle; even assuming that the real tracers are properly trained not someone who's watched an hour video.
This is going to have to go on until we get a vaccines so no matter how it starts off, its going to end up being run by shysters who will probably ship it to India, I don't know about the rest of you but if I get an unsolicited phone call and it's someone with a thick Indian accent (none of them seem able to pronounce my name) I just hang up as soon as they speak.
I doubt I'm the only one that does that.
There''s also the issue of money and job security, not a biggie for me but it will be for a lot of people in time, Things may be OK in June/July when it starts but what about 6 months from now and the currrent splashing of cash has long gone. WIll people be willing to give up fortnight's pay for £95pw on the say-so of some random dude who rings up out of the blue?
Maybe risk their jobs because their employer isn't willing to be understanding or their home because the landlord isn't.