Not sure who you heard that from, but I'd consider it BS. The bullet doesn't touch the can (at least we hope not) so WTH does jacket thickness have to do with suppressor use? Please have whoever told you that explain the rationale behind it. It might be good for entertainment purposes.
Now... if you run too light of bullet with too much twist and too much velocity (like for example a 40gr v-max in a 1-7 twist 22-250), it can come apart, which is always a problem, but particularly so when those bullet fragments may tear up an expensive can.
Similar issue if you run too heavy a bullet with not enough twist and not enough velocity. The bullet will not stabilize, and you could get a baffle strike.
In general, if it shoots fine without the can, it will continue to do so with it. The combination you list above sounds just fine, IMO.