I disagree it is level of interest that leads to protest.
For example, we are very interested in the Ukraine and the threat of Putin, however our Government from Day 1 has reacted in a way that the vast majority agree with, so there is no need to protest.
This applies to all issues of high interest. Lack of protest indicates agreement/lack of disagreement, not lack of interest.
( There are minor exclusions- ie in the case of protest against disability benefit cuts, the lack of protest could also be due to lack of ability to mobilise into street protests rather than lack of interest or lack of disagreement.)
Protest (it’s in the word) is based on how much a large minority to a majority of the populace disagree with what an authority, usually the government, are doing.
Many of those protesting the proscription of Palestine Action are protesting the misuse of Terror legislation as curbing free speech and our right to protest. Some of them disagree with Palestine Action but disagree with proscribing a political activist group as it conflates vandalism with terrorism.