Nor would I. There is some benefit in using something simple for the initial parts of the course, simply on a basis of cost, but if that isn't an issue, then as long as you get a decent instructor, then things should be fine.
A "complex" single really isn't all that complex. You just have to learn how to use it that's all. As long as you aren't denser than my mother's idea of Christmas cake, then it can be done. I was bouncing around on my own in a complex single with little more than a PPL and at least if you are getting trained on the thing from day one, then you'll have a minimum of 45 hours with an FI to get used to it, rather than scraping through a PPL in something basic and then jumping into something complex for a 5 hr "conversion" course that doesn't equip you properly at all.
With good training and some effort it's amazing what can be achieved. Just because it's the norm for people to have rubbish training in an exam factory in something with less complexity than the average hairdryer, doesn;t mean that's the ideal way to go about things.
Wobbly props, retractable gear or even a taildragger are hardly beyond the realms of possibility for most people. We're not talking about throwing someone with 10 hours into a Cessna 421 and make them then operate in heavy icing & IMC conditions.