I think you just need to be referencing label rather than value in your pickliststatic.html:

<template>
  <span class="slds-truncate" title={label}>{label}</span>   
</template>

It looks like you need a separate component file that is referenced from your templates. I'm not 100% sure of this, but all the examples I have seen have a template file like this (in a child folder of the custom datatable):

<template>
  <c-custom-datatable-component value={value} custom-value={typeAttributes.value}>
  </c-custom-datatable-component>
</template>

Then in a separate component, the actual markup is defined:

<template>
  <span class="slds-truncate" title={value}>{value}</span>   
</template>

With Javascript:

import { LightningElement, api } from 'lwc';

export default class customDatatableComponent extends LightningElement {
  @api value;
  @api customValue; 
}

I'm not sure if your shortcut version is supported, but given what's happening ... I'd say perhaps not. All the rest of your code looks fine to me.