To come back to the initial question:
There is an answer from the Turkish CAA:
1. The pilot is not required to maintain the 1250ft until 5 DME.
2. The pilot is allowed to continue climb to 2700ft if the 1250ft are reached first.
3. The missed approach text is re-evaluated by the procedure design specialists and there might be a change with the next AIRAC amendment.
As you have seen in the discussion, there are different interpretations possible by different pilots. The chart providers have to follow the AIP source, they should not provide interpretations of the source. Therefore it is interesting to learn that some chart providers have a text which is different to the AIP...