Not true!
Its recommended! not the law they would first have to prove that any accident was caused by the tyres plus there is a % tolerance on sizing when they make tyres so a 130 tyre could be up to 10% bigger or smaller how would manufacturers get around that?
Michelin actually go to the higher tolerance of sizing and are slightly bigger than other tyres their 180 section tyres usually measure 190 I know this as I have clearance issues with a chain on my TL1000s and contacted them regarding it.
Knowing whether you can use the size of tyre the OP wants boils down to rim sizes certain size tyres fit on certain size rims
6 inch rim is for 190>
5.5 inch rim is for around 160 up to 180
The rest I don't know as I never looked in to them as I only had 160 - 190 size tyres