Fireflybob.
The climb instruction is "climb with min gradient 6.6% to FL70". The TA is 5000'.
Having the QNH in the standby alt isn't going to get the autopilot to level off at an altitude.
Now, with the input of some ATC types, we can see a pattern emerging. If you have the QNH set up to TA then you can stop the climb and report alt passing. Then at TA set 1013 and do the after take-off checklist.
Everything gets done at an appropriate time, nothing gets left out and you can comply with any request or necessity at any time.
I don't have plates handy for anywhere with a 9000' MSA, but I can't find any TA lower than MSA.