Avro Arrow and English Electric Lightning roles compared

Was Canada trying to use the CF-105 Avro Arrow in the same way the RAF used the Lightning?

Only broadly; the Arrow was a longer-range bomber interceptor, while the Lightning was a short-radius point-defence interceptor.

The CF-105 Arrow and English Electric Lightning shared an interception role but faced different geographical requirements. Canada's larger operating area called for a long-range bomber interceptor. The Arrow receives a favourable assessment for that role, although its range is judged less than ideal. The Lightning's task was point defence within roughly a hundred miles of its base, while the Arrow could intercept targets farther away.