rsyslogが起動しているのに何も出力されない

はじめまして。
急に/var/log/messagesやcron、secureなど何も出力されなくなりました。
rsyslogを再起動したり、/etc/rsyslog.confを修正も行っていないので原因がわかりません。
再起動しても出力されないままとなっています。
また、正常に出力されているサーバーも存在します。

/proc/*/fdを見ると、正常に出力されているほうは

l-wx------ 1 root root 64 Apr 16  2021 8 -> /var/log/secure
l-wx------ 1 root root 64 Apr 16  2021 7 -> /var/log/maillog
l-wx------ 1 root root 64 Apr 16  2021 6 -> /var/log/cron
lrwx------ 1 root root 64 Apr 16  2021 5 -> socket:[8296]
lrwx------ 1 root root 64 Apr 16  2021 4 -> socket:[8295]
lr-x------ 1 root root 64 Apr 16  2021 3 -> /proc/kmsg
l-wx------ 1 root root 64 Apr 16  2021 2 -> /var/log/messages
lrwx------ 1 root root 64 Apr 16  2021 1 -> [eventpoll]
lrwx------ 1 root root 64 Apr 16  2021 0 -> socket:[8297]

のような感じで、出力されないほうは

lr-x------ 1 root root 64 May  2 05:24 3 -> /proc/kmsg
lrwx------ 1 root root 64 May  2 05:24 1 -> socket:[122587394]
lrwx------ 1 root root 64 May  2 05:24 0 -> socket:[122587391]

と、/var/log配下を見ていなさそうです。

rsyslog.confはどちらのサーバーも一緒です。

# rsyslog v5 configuration file

# For more information see /usr/share/doc/rsyslog-*/rsyslog_conf.html
# If you experience problems, see http://www.rsyslog.com/doc/troubleshoot.html

#### MODULES ####

$ModLoad imuxsock # provides support for local system logging (e.g. via logger command)
$ModLoad imklog   # provides kernel logging support (previously done by rklogd)
#$ModLoad immark  # provides --MARK-- message capability

# Provides UDP syslog reception
#$ModLoad imudp
#$UDPServerRun 514

# Provides TCP syslog reception
#$ModLoad imtcp
#$InputTCPServerRun 514


#### GLOBAL DIRECTIVES ####

# Use default timestamp format
$ActionFileDefaultTemplate RSYSLOG_TraditionalFileFormat

# File syncing capability is disabled by default. This feature is usually not required,
# not useful and an extreme performance hit
#$ActionFileEnableSync on

# Include all config files in /etc/rsyslog.d/
$IncludeConfig /etc/rsyslog.d/*.conf


#### RULES ####

# Log all kernel messages to the console.
# Logging much else clutters up the screen.
#kern.*                                                 /dev/console

# Log anything (except mail) of level info or higher.
# Don't log private authentication messages!
*.info;mail.none;authpriv.none;cron.none                /var/log/messages

# The authpriv file has restricted access.
authpriv.*                                              /var/log/secure

# Log all the mail messages in one place.
mail.*                                                  -/var/log/maillog


# Log cron stuff
cron.*                                                  /var/log/cron

# Everybody gets emergency messages
*.emerg                                                 *

# Save news errors of level crit and higher in a special file.
uucp,news.crit                                          /var/log/spooler

# Save boot messages also to boot.log
local7.*                                                /var/log/boot.log


# ### begin forwarding rule ###
# The statement between the begin ... end define a SINGLE forwarding
# rule. They belong together, do NOT split them. If you create multiple
# forwarding rules, duplicate the whole block!
# Remote Logging (we use TCP for reliable delivery)
#
# An on-disk queue is created for this action. If the remote host is
# down, messages are spooled to disk and sent when it is up again.
#$WorkDirectory /var/lib/rsyslog # where to place spool files
#$ActionQueueFileName fwdRule1 # unique name prefix for spool files
#$ActionQueueMaxDiskSpace 1g   # 1gb space limit (use as much as possible)
#$ActionQueueSaveOnShutdown on # save messages to disk on shutdown
#$ActionQueueType LinkedList   # run asynchronously
#$ActionResumeRetryCount -1    # infinite retries if host is down
# remote host is: name/ip:port, e.g. 192.168.0.1:514, port optional
#*.* @@remote-host:514

なぜ急に出力されなくなったのか不明なためご教示いただけないでしょうか。
OSはどちらもCentOS6です。
よろしくお願いいたします。