This article categorizes the various reasons an ESXi host might report dropped syslog messages.
Dropped syslog messages are not "lost" but are unable to be sent to a syslog aggregator or other destination due to various causes.
VMware ESXi 8.x
There are a variety of causes for syslog to drop message sends on ESX. See the Resolution section for specific articles relevant to your symptoms.
nc -zv fails to the syslog server from the ESX host, see [406249].vmsyslogd-dropped.log shows high volume, see [415811].cmmdsTimeMachineDump is seen in drops, see [374707].