I suspect it could happen. Do you have follow_freq(1) set for a reason? I think it's much less likely to happen without follow_freq(1), but then if you have it set for a specific reason, it's a moot point.
The other way to do this, though it's a bit of a hack, is this:
tail -f /var/log/myprocess.log | logger -h localhost
Of course, you would have to set up syslog-ng to listen on the network, and handle restarting the tail after a log rotate, unless you copy the log, then clear - something like this:
cp /var/log/myprocess.log /var/log/myprocess.log.0
echo '' >/var/log/myprocess.log