Per the Ionic documentation. on ionic-item-sliding you have to nest <ion-item-options> outside <ion-item>.
It ended up being a case of me putting the *ngFor on the wrong tag.
Thank you both @Sajeetharan and @brijmcq.
Both your post sent me down the write path in the end.
Html
<ion-item-sliding *ngFor="let server of servers"> <! <<<-- Moved here -->
<ion-item detail-push>
<h1>{{server?.server}} </h1>
<h2>{{server?.port}} </h2>
<h2>{{server?.username}}</h2>
<h2>{{server?.password}}</h2>
</ion-item>
<ion-item-options side="left">
<button ion-button color="primary"
(click)="editServerConfigPage(server)">
<ion-icon name="redo"></ion-icon>
Edit
</button>
<button ion-button color="danger">
<ion-icon name="remove-circle"></ion-icon>
Remove
</button>
</ion-item-options>
</ion-item-sliding>
Typescript
editServerConfigPage(server:Server):void {
console.log('editServerConfigPage()', server);
this.navCtrl.push('LoginDetailPage', {server: server});
}