Menulog still exists here in Australia, however it has adopted a combination of the system you describe and the third party driver system of Uber Eats et al. You can filter by restaurants that use their own drivers - I sometimes do this for two reasons, firstly it supports a driver who is directly employed and paid an award wage instead of this "contractor" bullshit, and secondly because restaurant employees have an additional incentive to get the delivery right (if they fuck it up, their boss will have a word with them and they will redeliver, any similar process for Uber Eats is far less direct).