I'm just curious is to know what are the advantages and what are the major differences between these two options other than obvious things. I mean burning will lead less number of tokens to represent your project whereas dividends will obviously increase the value of your tokens. I'm not sure what are the own advantages of these two methods, you are talking about (it is better to add them up in OP itself).

I do hear corporate are following a method of "splitting" so that they will be having more number of shares but with less value. If you consider this then burning out must be a new thing after the introduction of crypto space. People are keeping weightage to "total market cap" rather than value of one unit. So, burning cannot be a right option.