No, I don't find it invasive. It can grow quite tall and will climb through anything nearby, but the foliage isn't dense, and it's tender so it will die with the first frost.
Doncaster, South Yorkshire. Soil type: sandy, well-drained
In the UK no as it's killed off by our winters. I've grown it for years and it can self sow the following year, but I've never found it a problem as it's easily recognised and pulled out if not wanted and won't return.
I've got seedlings appearing now of what I think is Ipomoea Grandpa Ott (it's near where I had them last year) but I don't know if there's time for them to flower, and I'm watching them for any sign of turning out to be hedge bindweed or similar.
Doncaster, South Yorkshire. Soil type: sandy, well-drained
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I live in west central Scotland - not where that photo is...
I live in west central Scotland - not where that photo is...