The caller had half-baked information gleaned from various sources that did not really make sense, Prof Baker said.
"He had these slogans he was throwing at me, but when I asked him what he meant he didn't really have any answers."
This week it was revealed University of Auckland professors Shaun Hendy and Siouxsie Wiles have argued to the Employment Relations Authority their employer was not doing enough to protect them as they shared their expertise with the public.
But Prof Baker said he had not raised any concerns for his safety with his employer, the University of Otago.
If anyone made a threat where he felt he or his family was unsafe he would not hesitate to involve the police.
The Wellington-based scientist received the occasional phone call where a caller delivered a stream of abuse and hung up, but Prof Baker said he was most likely to receive abuse in the form of emails, averaging a few attacks by email every day.
As an exercise, Prof Baker began classifying the forms of abuse he received into "five categories of insult", he said.
There were the incoherent streams of abuse, which were easily dealt with, he said.
Some people had major grievances but did not know where to go, and contacted him to vent and,in some extremely sad cases, he would reply and express sorrow and sympathy.
There were anti-vax propagandists whose positions were not based in facts, which he ignored.
There were those with ideological stances who disapproved of the Government's overall strategy, who at times delved into conspiracy theories.
Finally, the group he found the hardest to deal with came as personal attacks from a small stream of people who persistently contacted him, and tried to undermine his ability to comment.
"Talking about how you look, or how you appear — they're obviously making quite a concerted effort to look at where you might feel a bit vulnerable."
The attacks had never made him question his role of speaking publicly about the pandemic response, he said.
University of Otago evolutionary virologist Dr Jemma Geoghegan said she, too, had not raised any concerns with her employer.
She said "no" to about 90 per cent of media requests because the issues were not related to her field of expertise.
In limiting her media exposure, she had limited the amount of people who wanted to harass her about her expertise, Dr Geoghegan said.
"I don't generally speak about vaccines, so [that] abuse isn't aimed at me," the Dunedin scientist said.
However, she had published on Covid origins and people had "weirdly strong views about that".
The issues dealt with by her Auckland counterparts were not surprising though and she had sympathy for them.
"This is happening all around the world," Dr Geoghegan said.
"I've got international collaborators that ... I think their mental health has suffered.
"Before Covid, or at the start of Covid, they were really prominent on Twitter and stuff like that, and now they've had to delete their accounts because of the amount of abuse they've got."