Intel HD 3000 has better OpenGL support on Linux (thanks to Mesa). It's at 4.0 with software implementation of ARB_gpu_shader_fp64. And I doubt it supports all of DX11 properly as well.
I don't think you need to worry about that when gaming is concerned though. It's too old and below minimum requirements of huge amount of games already.
> That’s correct for AAA titles. Casual gamers however often play on PCs without a dedicated GPU.
Even in such case, they wouldn't commonly use Sandy Bridge generation GPU. And those who use it, aren't expecting recent games to support it (whether they are demanding or not). Increasing number of games already require OpenGL 4.x, even if they are not very demanding in practice. And now with Vulkan, older Intel GPUs simply won't cut it anymore.
Before it happened, software developers need to choose whichever GPU API works best for their particular project.
Personally, I have not developed games for several years.
For the last 1.5 years, I’ve been working on a CAD/CAM software. Traditionally people use OpenGL for this area. I have picked D3D 11 instead. The renderer is reasonably sophisticated; there are many complex shaders in there. The software is now used by thousands customers worldwide, and yet there were very few rendering-related bugs so far.
Intel HD 3000 (6 years old, much newer then Windows XP) only supports OpenGL 3.1 on Windows.
VmWare workstation only supports OpenGL 3.0 for Win7 guests.
Direct3D 11 works flawlessly on both of them.