Point 10 in DISCOURSE MARKERS in writing is defined as:
a range of phrases as discourse markers to introduce a comparison.
There are three examples of these in the English Grammar Profile.
Collocates of ‘Similarly‘ (word ranking: 2809) in the COCA corpus:
situate, price, size, equip, treat, affect, dress, behave, respectively, configure, dramatic and it is very Academic.
Tech’s Role in the Future of Health and Public Safety
Similarly, experts estimate the healthcare IT market will grow to $390 billion by 2024.
World Economic Forum
COVID-19: Is it right to talk about a second wave?
From these similarities, it was tempting to assume that COVID-19 would behave similarly to a flu pandemic. Yet these are very different viruses …
In the above example, we cannot find ‘similarly’ as a discourse marker. It acts here more as general adverb after behave. However, ‘From these similarities’ does act as a way of connecting previous discourse to the following discourse, even though this is not what we were searching for, this is what google news showed quite a few examples of.
LIKEWISE (ranking 4571)
Not only is ‘likewise’ twice as rare, it is also surrounded by higher-level vocabulary.