The Farmers' Union of Wales (FUW) has called for Mr Johnson to issue urgent clarification that the English lockdown changes do not apply in Wales, describing the Prime Minister's address as "confusing and ambiguous", while one Powys councillor branded it the "worst of all statements by Boris".
He said: "First and foremost, everyone should recognise that in Scotland the advice remains the same this week as it was last week, and that is for everybody to stay at home, to protect the NHS, with the intent of saving lives". It can be one person one day and a different person the next.
The government is now also advising people to wear face coverings in enclosed spaces such as shops and public transport.
"If you can't work from home, then you should now go back to work, because there's been enough time, we've got the virus down, the consultation and measures have been put in place in the workplace, for example, manufacturing, or the construction setting, which means it can be done in a safe way".
There appeared to be no attempt to make it clear that the changes being announced only applied in England.
"When problems arise, we have contingencies in place, which include creating extra temporary capacity for our labs or sending swabs overseas to partner labs for completion", the spokeswoman said.
She added: "And what about safety at work?".
We are now getting two quite different messages as a result of the announcement by the prime minister and the response from the first minister. However, you're being pretty strongly discouraged if it's not essential work north of the border.
Changes announced on Sunday will include allowing people to exercise a couple of times a day, British media reported.
Ms Sturgeon accepted the need for other parts of the United Kingdom to move at different speeds, based on scientific evidence and said she is committed to the closest possible cooperation.
"So we are saying don't go to work, go to work, don't take public transport, go to work, don't go to work", comedian Matt Lucas said in a short video which was watched nearly four million times on Twitter.
"Clarity of message is paramount if we expect all of you to know what we are asking of you and as leaders we have a duty to deliver that clarity to those that we are accountable to, not to confuse it".
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Ross, Skye and Lochaber MP and the SNP's Westminster leader Ian Blackford referred to the recent outbreak of 57 cases and six deaths at a care home on Skye as evidence the north was still extremely vulnerable to the virus.
However Sturgeon warned that the lifting of the exercise limit in Scotland is not an excuse to meet up in groups at parks or beaches, to sunbathe or have picnics and barbecue.
The PM insisted there is no immediate plan to end the lockdown rules and that strict social distancing must stay in place, but outlined a number of alterations to the regulations.
The Scottish government will also be speaking to councils about the prospect of re-opening waste and recycling centres.
She said the new message may be taken as "a green light by many to not stay at home and begin socialising with friends and other activities that increase the risk of transmission".