When we analysed Nuke last year (T341564) we discovered that it is very hard to pull useful data about how, when, and where Nuke is used. We had to take the hacky approach of looking at edit summary texts, including pulling string translations for comparison.
It looks like some other external tools (e.g. Twinkle) use Tags in the deletion log to identify deletions performed with them. We could add a Nuke tag to identify deletions performed by Nuke.
Technical approach:
DeletePageJob allows for adding tags in the constructor. After a little bit of investigation, it looks like it may be that simple:
https://gerrit.wikimedia.org/r/plugins/gitiles/mediawiki/extensions/Nuke/+/refs/heads/master/includes/SpecialNuke.php#536
https://doc.wikimedia.org/mediawiki-core/master/php/classDeletePageJob.html
https://doc.wikimedia.org/mediawiki-core/master/php/classMediaWiki_1_1Page_1_1DeletePage.html