The purpose of ending the Triple Lock is to reduce the State Pension costs. This means whatever replaces it will mean less money going to those on the State Pension.
Most people will be getting full state pension or close to it irrespective of their other sources on income eg a retired warehouse worker with no savings, no investments, no private pension will be getting the same amount as a retired plc company director with >£1m savings & investments, a £90k a year private pension as well as the same State Pension. Which of those two will be most impacted by changes to reduce the amount paid out in State Pensions?