No, unfortunately it doesn't make any sense; tracking 050 you will only intercept even a 1 mile final for that runway if you start off SOUTH of the extended centerline. 5 miles WEST of the airfield puts you NORTH of the 07 centerline and would require a right turn to intercept, followed by a left turn to roll out on final.
Just to clear something else up, for "with alacrity" the approach is not "flown manually until visual reference"...if we did that we could only descend to the circling minima, we fly it (or any other non-precision approach) fully coupled which gives us the luxury of coming lower to the appropriate MDA. [Warning, double negative coming up!] It's not unusual on a non-precision approach to pop out of the clouds and NOT see 2 whites/2 reds like we do every time on the ILS, the reason we get paid a lot of money is then to convert that to crossing the threshold at about 50 feet and tracking the runway centerline.