While it's not a short article, it doesn't do the topic the justice it deserves.
There are many overlapping concepts with competing priorities: ethics, morality, benevolence, empathy, political correctness. Some of these (to my mind) are less desirable. For example, political correctness rejects one set of prejudices and replaced them with another set of prejudices. Alternatively, benevolence talks about the welfare of all and is far more logical and meaningful to me. I've never agreed that people deserve different treatment based on gender or skin colour (which is the heart of political correctness to do so, eg. 50% of women MUST be in IT).
The article takes several swipes at Peter Singer without explaining his views adequately. I feel that Singer believes in prioritising where best to help. You do that by applying a level of logic to empathy. While this doesn't work for some, it provides a basis for collectively prioritising effort and attention for the broader community.
There is a lot of confusion around empathy. I suspect the hateful and intolerant campaign against Matt Taylor for his shirt was driven by people with good intentions who believe themselves to be empathetic. Yet, their behaviour lacked empathy and is more aptly described as intolerance and bullying. I lead this back to Singer's point of view about applying logic and reason with empathy. The author of the article talks about the need for both and appears to discount Singer as having no empathy, just reason.
Ultimately, any empathy that is applied equally (eg. Across genders, skin colours, sexual orientations, etc ) is a good thing. The reasoning is also helpful as it avoids morality judgements and allows us to prioritise our efforts.