The scenario is a bit misleading. We didn't arrive at everything being wrapped in single-use plastic overnight so we cannot switch the other way that quickly either.
Perishable or hygienic reasons must allow for continued use for some products. But there are plenty of things that don't fall under that umbrella where waxed paper or single-use bamboo could make sense. You have correctly identified cost as an issue. The reason why everything is still wrapped in plastic like a corpse in Twin Peaks is it's cheaper. Plastic packaging is also more resistant to damage on the way to the consumer. So the calculations need to change. We need to raise the cost on plastic and lower it on other more quickly biodegradable items. That's a political decision, one that would be heavily lobbied against by the big boys in packaging. Yet another reason why overnight simply won't work.
The question about resources also hinges on the time frame. If the switch had to occur today, the answer is probably no. There aren't enough paper mills and bamboo nurseries in the world to meet demand. But there weren't a gazillion plastic factories from the start, they grew over time in numbers. One should also not forget that paper mills aren't without environmental impact. And neither would bamboo toothbrushes be. Also if we increase the amount of arable land to grow bamboo, are we decreasing land for food or animal feed? What are the effects of growing bamboo on the land without fellow periods? What fertilizer would be used? What toxic insect killer chemicals would need to be in use to guarantee sustainable levels of production? It's not like one option is the perfect solution to fix the problems with the other option.
A holistic aporoach would also have to include us consumers changing our behavior. That's definitely not happening overnight.
Dictionary definition to run over:
IIRC "attack" used to be originally a charge by the cavalry. And now terrorists and air forces also attack. Meanings shift. The victim needn't see the undercarriage in person to classify as being run over. Language is literally imprecise.