Here is the question from the article (https://theintercept.com/2016/12/02/of-8-tech-companies-only-twitter-says-it-would-refuse-to-help-build-muslim-registry-for-trump/):
“Would [name of company], if solicited by the Trump administration, sell any goods, services, information, or consulting of any kind to help facilitate the creation of a national Muslim registry, a project which has been floated tentatively by the president-elect’s transition team?”
The question is loaded, because it is founded on the premise that such registry has actually been proposed by Trump's transition team. It has not. The Intercept itself offers no support for this assertion. The closest it comes is a Reuters article from Kris Kobach, who says he would support re-instituting a special registration program that monitors immigrants coming from countries that have been designated high-risk. This program was originally created after 9/11, and although the countries affected are predominantly Muslim, the program does not specifically target Muslims, nor does it target ass predominantly Muslim countries. Even then, it is unclear to what degree Kobach's comments reflect the incoming Trump administration's actual agenda, since no official statement has been made. Above all, it certainly does not fit the criteria of a "national Muslim registry."
Here are a couple other articles that have attempted to tease out the Trump camp's position on Muslim registries:
These articles highlight comments Trump has made about Muslims and immigration in the past, and point out that he has refused to explicitly say he would never seek such a thing. Sitll, they make it clear that (at least to the best of the knowledge of the journalists writing these articles) at no point has Trump ever actually proposed a national Muslim registry (e.g., "Trump has not called for blanket registration of all Muslims in the US or those seeking to immigrate from other countries.", The Guardian).
So, it is my opinion that asking tech companies if they will support Trump's muslim registry plan is loaded, because Trump does not have a muslim registry plan. Despite that, any answer -- including no answer at all -- can be easily misconstrued as a political statement by the company. And that's exactly what The Intercept has done here.