I have 1280MB vRam and it plays like this on all maps.
I don't think it's the Vram that is making yours stutter I think it's the memory bus yours could be 192 bit or 256 bit bus and mine is 320bit
I have not read any reviews that say lack of v ram causes stuttering, only lower FPS, it's like the cache on the CPU if it's not there in vram it will pull from main memory when needed and it's not a huge performance hit if you have what is recommended for the game specifications.
BF3
Recommended System Requirements
•OS: Windows 7 64-bit
•Processor: Quad-core CPU
•Memory: 4 GB
•Hard Drive: 20 GB
•Graphics Card: DirectX 11 graphics card with 1024 MB RAM (NVIDIA GeForce GTX 560
or AMD ATI Radeon 6950)
•Sound Card: DirectX Compatible
•Keyboard and Mouse
•DVD ROM Drive
http://www.howstuffworks.com/ram3.htm
VRAM: VideoRAM, also known as multiport dynamic random access memory (MPDRAM), is a type of RAM used specifically for video adapters or 3-D accelerators. The "multiport" part comes from the fact that VRAM normally has two independent access ports instead of one, allowing the CPU and graphics processor to access the RAM simultaneously. VRAM is located on the graphics card and comes in a variety of formats, many of which are proprietary. The amount of VRAM is a determining factor in the resolution and color depth of the display. VRAM is also used to hold graphics-specific information such as 3-D geometry data and texture maps. True multiport VRAM tends to be expensive, so today, many graphics cards use SGRAM (synchronous graphics RAM) instead. Performance is nearly the same, but SGRAM is cheaper.
That is a old explanation however still works the same way with the CPU. From what I read if you don't have the recommended Vram the game will lockup or the game will not give you max settings to work with or will not play do to not enough Vram.