PM- thank you for the small corrections. Rashi indeed writes what you wrote, although I’d like to see how any candle continues burning when it is covered fully. Additionally, the Rambam writes this halocho without any qualifications and it seems that he relies for this upon the hetter of gram kibbui (Hilchos shabbos perek 12 halocho 4 )as he includes this halocho in the same mishnah as the “mechitzah of keilim” to protect from a fire.
But, back to rashi, to some extent “ikker chosser min hasfer’ if this is what rashi means. I submit that when rashi says ‘shelo jechabeh’ he may mean that by putting the kli directly on the fire, he extinguishes it. That, of course, is kibbui. However, just by covering it, rashi may agree it is gram kibbui. I am saying that because it is physically impossible that the flame continues to burn after it is covered. Try it once.