Interesting that you say you have to stop completely.
The wave will definitely change shape if you are making turns, and I have found that if you turn into the direction of the side the wave is on it will flatten out and conversely if you turn away from the wave, it will steepen. But as soon as you straighten out the wave will be as it was before you started turning. Unfortunately there is nothing you can do, to keep the wave perfectly the same, if you are making turns. This is because the tilt of the boat directly influences wave shape.
On our lake, at one end we need to make a tight 180° turn (probably a 200’ diameter circle), and when we do, the rider has to come up close to the boat to stay in the truncated sweet spot, until we complete the turn and straighten out again.


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