Peltier elements suck at heating and cooling.
The problem is efficiency. Of all methods of heating and cooling, Peltier elements are the least efficient at both. The main benefits to Peltier elements are they're very compact, very simple, and very cheap. In some applications, these benefits are enough to warrant the trade in efficiency. In a greenhouse, these benefits are either not very helpful or completely invalid.
Your money and energy are more efficiently invested in other methods.
For a truly comprehensive explanation from someone much more knowledgeable than I am, refer to the Technology Connections video on the topic.