Please let us know the resolution.
I found a datasheet for a pull chain switch. It gives the operating force as 400+-200g but doesn't give the distance the chain needs to move for an operation.
https://www.nteinc.com/switches/pdf/pull-chain.pdf
(don't get me started about g being used as a unit of force)
I think I like the other person's idea of using a spring and rope setup to limit force applied to the switch.
Say you use a tension spring with 1lb/inch of spring constant and the switch operating force is 1lb. To operate the switch you stretch the spring by 1", then the switch moves 3/4" and hits its stop, then you can keep pulling another inch before your mechanical limiter stops the motion of the 'user' end of the spring. The maximum force on the switch is limited to a couple of pounds.
McMaster has 1/2" diameter 'magnetic latch, mortise mount'
https://www.mcmaster.com/15735A64/ which has a maximum pull of 13 lbs, and would likely pull apart before the switch breaks, then someone has to come and re-mount the cord.
-Jon