It would be helpful to have the Points tool appear as a default in the Standard toolbar next to the Snap to Grid tool. The DG74-Draw Guide already lists this as the second way of switching to points editing mode.
You can edit the toolbar to add the buttons you like. https://help.libreoffice.org/latest/en-US/text/shared/guide/edit_symbolbar.html?DbPAR=SHARED#bm_id3159201
The Points button was actually available back in 7.3, but a regression removed a number of default buttons from Draw and Impress. It is fixed for 7.5.4 and 7.6.0, marking as duplicate. Thanks Don! *** This bug has been marked as a duplicate of bug 154946 ***