I used to work on realtime graphics code which was used in flight simulators for the FAA and USAF, then moved into the games industry and led the design of a couple of game engines, to give you an idea where I'm coming from. The military grade flight sims actually had contract requirements like, "you may never miss a single frame in a week of usage", etc, so solving this problem was critical.
When working on code such as game engines, it's not simply a matter of how long something takes to do, but also when it happens and how predictable it is. If I knew that GC takes 1ms, I could schedule it just after I call swapBuffers and before I begin processing data for the next frame, which isn't a latency critical portion.
The problem is that GC is unpredictable because the mark and sweep can take a long time, and this will prevent you from meeting your 60fps requirement.
In practice, we hardly ever do any kind of GC for games because we don't really need to. We use block memory allocators like Doug Lea's malloc (dlmalloc) in fixed memory pools if we must, but generally, you keep separate regions for things like object descriptors, textures, vertex arrays, etc. There's a ton of data to manage which can't be interleaved together in a generic allocator, so once you've gone that deep, there's really no point in using system malloc.
Malloc itself isn't a problem either, it's quick. It's adding virtual space via sbrk() and friends which can pause you, so we don't. On consoles, we have a fixed memory footprint, and on a bigger system, we pre-allocate buffers which we will never grow, and that's our entire footprint. We then chunk it up into sections for different purposes, short lived objects, long lived objects, etc. Frequently, we never even deallocate objects one by one. A common tactic is to have a per-frame scratch buffer, and once you're done rendering a frame, you simply consider that memory free - boom, you've just freed thousands of things without doing anything.
There are many things you can do instead of generic GC which are far better for games.
I disagree with the author of the original article about C++. C++ is as complex as you want to make it, you don't have to use all the rope it hands you to hang yourself. However, having the std library with data structures, smart pointers, the ability to do RAII, is invaluable to me. Smart usage of std::ref gets you automatic GC, what you don't have is cycle detection, so you take care never to have cycles by using weak pointers where necessary, and you have all the behavior of auto-GC without stop the world.