Obfuscation can be helpful in not disclosing which are some services or naming schemes
The "obfuscation" benefits of wildcard certificates are very limited (public DNS records can still easily be found with tools such as sublist3r), and they're definitely a security liability (get the private key of the cert stolen from a single server -> TLS potentially compromised on all your servers using the wildcard cert)
Syslog over TCP with TLS (don't want those sweet packets containing sensitive data leaving your box unencrypted). Bonus points for mutual authentication between the server/clients (just got it working and it's 👌 - my implementation here
It solves the aggregation part but doesn't solve the viewing/analysis part. I usually use lnav on simple setups (gotty as a poor man's web interface for lnav when needed), and graylog on larger ones (definitely costly in terms of RAM and storage though)