The issue was fixed in 11.0:
sol10561: The BIG-IP system may not use a renewed SSL certificate
https://support.f5.com/kb/en-us/solutions/public/10000/500/sol10561.html
This is the result of a known issue. If you are replacing an expired SSL certificate on the BIG-IP system, and the new certificate name is the same as the existing certificate, the BIG-IP system may not use the new SSL certificate until the configuration is reloaded or the SSL profile(s) is updated.
F5 Product Development tracked this issue as ID 248109 (formerly CR60320) and it was fixed in BIG-IP version 11.0.0.
Aaron