Different manures have different strengths of nitrogen. Some can burn certain plants. I've killed tomato plants with chicken manure, trying to put it near as a side-dressing but not touching. It somehow got too close.
Different manures can, maybe, possibly, sometimes kill plants or stunt them. Some plants are a lot more susceptible to being burned by manure. I find cucurbits are really risky and obviously tomatoes are not safe. If you can keep the manure in between the rows it is not as likely to cause problems as if it is closer to the plants. How thick you put it makes a difference too.
Spreading manure on a pasture field anytime has been a standard practice for thousands of years. With a pasture the grass may be burned a little (you can sometimes see yellowed grass where a cow drops a load so it can harm even grass) but that grass comes back so fast with all that good nitrogen you're not likely to notice even if you pile it pretty thick. Spread it anywhere in the fall so it has time to break down is standard practice. Many of us empty our chicken coops in the fall directly in the garden. By planting time it has broken down.
The question was not about grass or a vineyard. It was about a garden, specifically peppers. Certain manures can and do kill certain garden plants. Peppers are one you need to be careful with. The simple uncomplicated answer is to not use a hot manure in a garden on peppers. There are places where you can use hot manures. There are places you can use cold manures. There are times and places you should not use hot manures. With most of the plants in garden hot manures are risky.