Not common, or unusual, agreed. An instruction to turn away from finals. But shouldn't it be within the scope of a solo pilot?
It appears that there wasn't much intergration planning between App and Tower but there again, someone will say VFR circuit; see and avoid.
I can't understand the initial instruction of "fly the centreline and climb". Would not a go-around would move no1 to the deadside so that if no2 climbs away there is no immediate confliction.
Interesting to see how this incident is viewed slightly differently by those wearing pilot goggles and those wearing controller shades.....maybe highlighting minor anomolies in the interpretation of the services being provided....It's good to talk.