is Rollover logic of TimeBasedRollingPolicy correct? - log4j

Question

Documentation says that 'if file names haven't changed, no rollover'.fileName is derived with the fileName pattern String.
I have two observations :
1)If today appender doesn't have message to write then it wont roll the file even if triggring time has passed (i.e. we have a log file which was modified yesterday ).
2)If the yesterdays log file is 0KB(means yesterday no log was written in file) & today appender have some messages to write then it rolls the 0kb file and writes data to newly created log file
I wanted to discuss whether above both cases are correctly implemented by TimeBasedRollingPolicy class OR should the implementation be changed ?
My implementation strategy for 1st Scenario would be 'if FileNamePattern is set to %d{dd-MM-yyyy} then at the midnight file should be rolled irrespective whether appender has data to write if yesterday's file is non empty.'
In case of 2nd case if yesterday's file is 0kb means no message was logged yesterday then it should write data into same file . because main purpose of rolling is to take backup of the logs and if file is empty is it worth to roll it ?
take below configuration of log4j.properties file as referenec for above two scenario's discussion
Sample log4j.properties
####### Root Logger ########################################
log4j.rootLogger=ERROR,CA,FA
############################################################
################### APPENDERS ##############################
############################################################
# CA is set to be a ConsoleAppender
log4j.appender.CA=org.apache.log4j.ConsoleAppender
log4j.appender.CA.layout=org.apache.log4j.PatternLayout
log4j.appender.CA.layout.ConversionPattern=%d %p %t %c: %m%n
# FA is set to be a FileAppender
log4j.appender.FA=org.apache.log4j.rolling.RollingFileAppender
log4j.appender.FA.RollingPolicy=org.apache.log4j.rolling.TimeBasedRollingPolicy
log4j.appender.FA.RollingPolicy.FileNamePattern=.\\logs\\application.log-%d{dd-MM-yyyy}
log4j.appender.FA.File=.\\logs\\application.log
log4j.appender.FA.layout=org.apache.log4j.EnhancedPatternLayout
log4j.appender.FA.layout.ConversionPattern=%d %p %t %c: %m%n
log4j.appender.FA.Append=true