I believe you because you're usually right about such things, pea heating expert that you are, but I'm still going to test this as it goes against my instincts.
There is a bunch of variables not accounted for in my simplified thermodynamic model, so experimentation is welcome. You will have to come up with a more refined model to explain your results if they differ substantially from my prediction.
I often preheat the kettle water too, so it's nearly boiling when I switch it back on at "oh, shit the peas" time. I'm going to weigh peas and start with tap temperature measured water the next few times though.
I believe you because you're usually right about such things, pea heating expert that you are, but I'm still going to test this as it goes against my instincts.