In the absence of compulsory production and under the current intellectual property rights scheme, price ceilings cause shortages all other things held equal.
In a more normal market with fixed supply, such as rent control, that's true. Much less so in a monopoly market with largely intellectual property.
It's not just intellectual property - it's a capital intensive bioengineering project with probably a half billion or so capex and even more for an outsider to bootstrap.
Fair enough. Still, there are no supply dynamics here where a price ceiling would cause supply issues.