Drawbacks of making public which journal a manuscript is submitted to, while it is under review? Many researchers list out their submitted manuscripts on their website. Some specify the journal name, like


  Smith J, Oliver J (under review) My awesome paper. Nature.


while others don't, like


  Smith J, Oliver J (under review) My awesome paper.


One reason I can think of as to why some don't mention the journal name is that they may get embarrassed in the case where the current journal rejects the paper. Then, the "circle" will know this paper gets rejected from Nature first and then ends up in an inferior journal.

Besides this, are there any other considerations preventing people from mentioning to which journal they submit a paper to?

P.S.: I am asking because my advisor is a researcher who only mentions accepted  papers on his webpage. As a student hunting jobs, I feel it is advantageous for me to mention my submitted papers on my webpage. I hesitate to do so, as I worry I may make my advisor unhappy by announcing in which journal our papers are currently under review.
I think a main reason why many find it preferable to not list the journal name is because it can come across as presumptuous and doesn't really advantage one over not listing the journal name, anyway. For an established researcher (such as, probably, your advisor), the few papers in submission probably do not bear too much influence on his/her reputation, compared to an early-stage researcher for whom these comprise a large percentage of the publication record, so there isn't much to gain.

Two alternatives that may allow you to list your submitted publications in a manner that is consistent with your advisor's are:


Do not mention the journal, but mention that the paper has been submitted. This shows most of the important details of the paper and allows you to record it on your webpage without explicitly naming the journal. E.g., 


  Student A and Doe J. (2016) "Our awesome paper." Under review. 12 pages.

Depending on your field and the journal to which you submitted, you could post an archival version online (say to arXiv). Then you can reference this on your webpage until it is accepted in a journal.