You have to, because they are making measurements to determine whether a player is offside.
All measurements are made up to a certain level of precision. What is the precision of VAR? This is a very legitimate question to ask. The rule is that you are offside or onside, and that you can not be level. OK, that's clear, but it only works if you can make that measurement very precisely.
They need to tell the football world what that precision is in order for us to accept it.
When you make a measurement is made, you report its maximum likelihood and a confidence interval within which you can say, with say 95% probability, that the true value lies within those boundaries. From what I understand those boundaries maybe +/- several cm, and not the mm which are really what you need to make VAR work within the existing rules.
This is just a general comment on what is required to assess VAR in relation to offside. There is still the secondary issue of whether football really wants to stop the flow of the game to do this.
The ideal solution is something that is
a) precise and,
b) fast
I believe VAR is neither.
The graph below is an image I took from the Internet to demonstrate a maximum likelihood estimation and a confidence interval which enables someone to say with a confidence level of X percent (typically 95%) that my estimate of the true value of Y is Z +/- a.
a is your uncertainty. What is VAR's uncertainty? I suspect it is unworkable.
Where is the independent study of VAR technology? They've been trialing this for years. but have they analysed it properly? Maybe it has been detailed but its significance has been lost on football people?
Source:
https://datumorphism.com/wiki/statistical-estimation/confidence-interval/