Agree, low profile tyres are harder on the suspension and both tyre and rim more prone to pothole damage, not to mention tyres a lot more expensive. Best thing I did for wifes Jazz Si was fit 15" rims to replace 16". Wider tyres generally more noisy as well.
Oh yeah, more noise. Which given that Honda was not too generous with the soundproofing, I would say is best avoided.
Another factor is economy. OK, 175 to 185 on a Jazz probably won't affect the MPG over a lifetime by much. However, the number of motors you see on 245+ 18"+ wheels. The drag from those tyres must be huge. The wieght of the tyre alone would be substantial. I remember handling a tyre on the VRS, and I was surprised by just how heavy that was, and by todays standards, they are hardly massive.
I've noticed very heavy SUV EV's being sold as 'holier than thou' eco wise, yet they're kitted out with daft big wheels. Conterproductive from the eco perspective, but then again no doubt helps sell them to the image concious folk.