somehow the existence of the mountain causes the amplitude of any future earthquake to reduce, etc.
I don't believe it affects the amplitude, but it might impact the frequency. When there was a 5.8 earthquake in Virginia in 2011 (the biggest in over 100 years), it was felt from Florida to Ontario, because the east coast's rock formations are extremely old and have sort of cemented together with time (because of erosion and other processes), meaning that when one moves, they all move. The mountain chain there, the Appalachian mountains, is believed by many scientists to be the oldest in the world, and used to be taller than the Himalayas. Whereas in California, there are earthquakes all the time, and they are barely felt outside the city they happened in. This is because that area and its mountains (the Rockies) are very young geologically speaking, and aren't cemented together, so when an earthquake happens it doesn't travel as far.