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With build 2056 this works well in Lucid! :-)
The user should can to decide if he wants be notified every time that he open the editor, don't you think?
Yes, the user is to decide whether or not these ads.

Ubuntu 10.04 64 bits
I have tested with build 2051 and libgio-cil 2.22.2-2 but this problem still occurs! :-(
"unable to load libgio, single instance support disabled"

$ ldd sublime_text
    linux-vdso.so.1 =>  (0x00007fff81f01000)
    libgtk-x11-2.0.so.0 => /usr/lib/libgtk-x11-2.0.so.0 (0x00007f771a22b000)
    libgdk-x11-2.0.so.0 => /usr/lib/libgdk-x11-2.0.so.0 (0x00007f7719f7e000)
    libatk-1.0.so.0 => /usr/lib/libatk-1.0.so.0 (0x00007f7719d5c000)
    libgio-2.0.so.0 => /usr/lib/libgio-2.0.so.0 (0x00007f7719a4b000)
    libpangoft2-1.0.so.0 => /usr/lib/libpangoft2-1.0.so.0 (0x00007f7719821000)
    libpangocairo-1.0.so.0 => /usr/lib/libpangocairo-1.0.so.0 (0x00007f7719613000)
    libgdk_pixbuf-2.0.so.0 => /usr/lib/libgdk_pixbuf-2.0.so.0 (0x00007f77193f7000)
    libcairo.so.2 => /usr/lib/libcairo.so.2 (0x00007f7719174000)
    libpng12.so.0 => /lib/libpng12.so.0 (0x00007f7718f4c000)
    libpango-1.0.so.0 => /usr/lib/libpango-1.0.so.0 (0x00007f7718d02000)
    libfreetype.so.6 => /usr/lib/libfreetype.so.6 (0x00007f7718a7c000)
    libfontconfig.so.1 => /usr/lib/libfontconfig.so.1 (0x00007f7718846000)
    libgobject-2.0.so.0 => /usr/lib/libgobject-2.0.so.0 (0x00007f77185f7000)
    libgmodule-2.0.so.0 => /usr/lib/libgmodule-2.0.so.0 (0x00007f77183f3000)
    libgthread-2.0.so.0 => /usr/lib/libgthread-2.0.so.0 (0x00007f77181ed000)
    librt.so.1 => /lib/librt.so.1 (0x00007f7717fe5000)
    libglib-2.0.so.0 => /lib/libglib-2.0.so.0 (0x00007f7717d06000)
    libpthread.so.0 => /lib/libpthread.so.0 (0x00007f7717ae8000)
    libdl.so.2 => /lib/libdl.so.2 (0x00007f77178e4000)
    libutil.so.1 => /lib/libutil.so.1 (0x00007f77176e1000)
    libm.so.6 => /lib/libm.so.6 (0x00007f771745d000)
    libX11.so.6 => /usr/lib/libX11.so.6 (0x00007f7717127000)
    libstdc++.so.6 => /usr/lib/libstdc++.so.6 (0x00007f7716e13000)
    libgcc_s.so.1 => /lib/libgcc_s.so.1 (0x00007f7716bfb000)
    libc.so.6 => /lib/libc.so.6 (0x00007f7716878000)
    libXext.so.6 => /usr/lib/libXext.so.6 (0x00007f7716666000)
    libXrender.so.1 => /usr/lib/libXrender.so.1 (0x00007f771645b000)
    libXinerama.so.1 => /usr/lib/libXinerama.so.1 (0x00007f7716258000)
    libXi.so.6 => /usr/lib/libXi.so.6 (0x00007f7716048000)
    libXrandr.so.2 => /usr/lib/libXrandr.so.2 (0x00007f7715e3e000)
    libXcursor.so.1 => /usr/lib/libXcursor.so.1 (0x00007f7715c34000)
    libXcomposite.so.1 => /usr/lib/libXcomposite.so.1 (0x00007f7715a31000)
    libXdamage.so.1 => /usr/lib/libXdamage.so.1 (0x00007f771582d000)
    libXfixes.so.3 => /usr/lib/libXfixes.so.3 (0x00007f7715627000)
    libz.so.1 => /lib/libz.so.1 (0x00007f7715410000)
    libpcre.so.3 => /lib/libpcre.so.3 (0x00007f77151e1000)
    libresolv.so.2 => /lib/libresolv.so.2 (0x00007f7714fc8000)
    libselinux.so.1 => /lib/libselinux.so.1 (0x00007f7714da9000)
    libpixman-1.so.0 => /usr/lib/libpixman-1.so.0 (0x00007f7714b50000)
    libdirectfb-1.2.so.0 => /usr/lib/libdirectfb-1.2.so.0 (0x00007f77148cc000)
    libfusion-1.2.so.0 => /usr/lib/libfusion-1.2.so.0 (0x00007f77146c2000)
    libdirect-1.2.so.0 => /usr/lib/libdirect-1.2.so.0 (0x00007f77144a9000)
    libxcb-render-util.so.0 => /usr/lib/libxcb-render-util.so.0 (0x00007f77142a4000)
    libxcb-render.so.0 => /usr/lib/libxcb-render.so.0 (0x00007f771409b000)
    libxcb.so.1 => /usr/lib/libxcb.so.1 (0x00007f7713e7f000)
    libexpat.so.1 => /lib/libexpat.so.1 (0x00007f7713c55000)
    /lib64/ld-linux-x86-64.so.2 (0x00007f771a86d000)
    libXau.so.6 => /usr/lib/libXau.so.6 (0x00007f7713a50000)
    libXdmcp.so.6 => /usr/lib/libXdmcp.so.6 (0x00007f771384a000)

I think this is a bug.

What version of libgio?
I have tried with libgio-cil 2.22.2 and libgio-fam 2.22.0 but it doesn't work.

It lacks of documentation.