with
MozillaFirefox-35.0-426.10.x86_64
and
flash-player-11.2.202.442-1.2.i586
flash-player-kde4-11.2.202.442-1.2.x86_64
installed,
MozillaFirefox gives the output
Please update your Flash Player plugin
all is ok with
flash-plugin-11.2.202.442-release.x86_64
installed
os,
openSUSE-release-20150205-1.2.x86_64
with
kernel-desktop-3.18.6-1.1.gec2a744.x86_64
It works fine for me, installing flash from the repos (the non-oss repo).
Why did you use the 32-bit flash on a 64-bit install? I think that’s your mistake. Checking what is installed, I see that it is 64-bit.
Yes, it might be the same binary from adobe, but there is probably control information or a different plugin directory that leads to the 32-bit flash not being seen by firefox.