Ok. so that too me too long.
Turns out, all that HAS to happen is for a tiddler to exist in the right namespace. If you want the field "owner" to be included in the edge manager then create a tiddler titled:
$:/plugins/felixhayashi/tiddlymap/graph/edgeTypes/tw-list:owner
So, here's a macro that gets the names of all fields in your TW file, then prepares them into links. Simply click the links you want to be added to edge manager as a fast way to create tiddlers in this namespace. Ideal solution? No. But good enough for now. Would prefer an automated solution or even a more elegant list with checkboxes to manage.
\define allfieldnames(title)
<$set name="name" value="$:/plugins/felixhayashi/tiddlymap/graph/edgeTypes/tw-list:$title$">
<$link to=<<name>>>$title$</$link>
</$set>
\end
<table class="tc-view-field-table"><tbody><$list filter="[fields[]sort[title]!is[system]]" variable="listItem"><$macrocall $name="allfieldnames" title=<<listItem>>/>
<br/>
</$list>
</tbody></table>
Look at other tiddlers in this namespace to understand the other fields that are possible, like line types and colors.
Note: There seems to be some issues with how edge manager looks in fields for links... for example, a field that includes the text "[[tiddler]]'s". That apostrophe 's' will break how it finds all links in that field.
</sadtank>