I resemble that remark. Another opinion...
1) Why would you not want your signature visible? Have you ever seen a painting without a signature? Your signature is your calling card. It shows viewers who produced the art. I sell "signed" prints. In my market the signature adds value.
2) If you sign somewhere other than on the image itself, there is no guarantee your signature will be visible when the piece is displayed. It can be covered by a frame or a mat.
3) If you are worried about it looking kitsch, then avoid splattering a large gaudy dramatic and illegible flourish on the image. A small simple legible signature serves the purpose. I am careful to choose a color and location that does not draw attention.
Signed work always adds value. Tacky signatures included in the image area do not. I did not suggest placing a signature where it can't be seen - but not in the image area. Photographers signatures typically or traditionally are placed in the lower right hand corner (right hand relative to the signer) of the print border. If you produce a borderless print then mark the print on the back (verso) of the print in a manner appropriate for the medium.
Any mark in the image area diminishes the work IMO and in the opinion of many collectors, curators, and gallerists.
I can see by looking at your images on your web page that your name is (copyright mark) splattered right in the image area. Why? Do you really fear some one stealing your work using a low res image?
I also imprint my mark with an embossment to indicate that I printed the work.
Per your website:Signature
Unless you request otherwise, I sign all photos in the lower right corner, on the image itself, not in the border. A certificate of authenticity is included with all prints.
But do as you wish and I'm sure you will.