This isn't about throwing away tools for some idealized goal. It is about using the tools that are available to achieve best results without making you reliant on the tools to the point you don't know what your program is going to do without compiling and running.
IDE helps catch a lot of stupid simple mistakes and that helps save time. Why would that be bad?
> It looks really strange to me to observe other developers constantly compiling and running their code just to see if it works. It kinda looks as if they did not exactly understand what they are doing because if they did, they would be confident the implementation works.
Explain to me how this statement doesn't apply to your use of an IDE, but the other engineers you've observed don't understand what they're doing.