I tried that tracefile. For me it gave much less matches than my own strace ... | sed ... | sort -u. I even added -s256 to strace(1) command line but it did not help much...
Then I tried that loggedfs. First it failed since I did not have read/write access to the directory I tried to log with it. After doing chmod 755 temporarily I did get some hits...
But, for me, doing the following seems to work best:
inotifywait -m -r -e OPEN /path/to/traced/directory
And then postprocess the output after running the process of interest.
This doesn't catch the files process access outsice of the traced directory nor this doesn't know whether some other process accessed the same directory tree, but in many cases this is good enough tool to get the job done.