Your comparison of heap allocation generational GC with stack allocation is not correct. Yes, allocating in the nursery is very fast, a couple of cycles only. The stack frame gets allocated once per function call. Yes, when a GC runs, you have to scan the whole heap, including the stack.
But what you are completely missing is, that allocating on the heap eventually triggers a GC, which takes cpu resources to perform. After a collection of the nursery, all surviving objects are promoted to the older generations. This promotion not only takes work, but grows the older generations which are more expensive to GC. So, while heap allocation with a generational GC is very cheap, it is not free. A large allocation count causes more frequent GC runs and objects might be promoted to older generations prematurly. As a consequence, a program that allocates less will perform better. Avoiding a high amount of heap allocations is a good way to increase your programs performance, be it by doing stack allocation, or by reusing buffers for example.