An electronic signature is a picture
In the ordinary sense the term is used in PDF tools, an electronic signature is an image or a drawn mark placed on the page: a photographed wet signature, a scribble made with a trackpad or stylus, or a name typed in a script typeface. Technically it is an annotation or an image drawn into the page content, no different in kind from a logo. The document now depicts a signature.
What it does not do is bind anything. There is no cryptography involved, so nothing in the file records who placed the mark, when, or what the document contained at that moment. If the text above the signature is edited afterwards, the mark sits there unchanged and unbothered, because it has no relationship to the content it appears to endorse. Nothing can detect the edit from the signature alone.
It is also trivially transferable. A signature image can be extracted from one PDF and placed on a completely different one in seconds, with no technical trace of the move. That is not a flaw in any particular tool; it follows inevitably from the mark being pixels on a page. None of which makes electronic signatures useless — for internal approvals, routine acknowledgements and low-stakes paperwork they are convenient and widely accepted. It simply means the assurance they provide is social and procedural, not technical.