A majority perhaps, but probably not a true consensus or it wouldn’t have been such a topic of discussion.
My point was, it was well before Power of English Kings.
If you can city any Church Father at or before that time (200 AD) who cited Christians as believing in any other month besides March or April as the month Jesus was born, then please cite them.
Otherwise you using an argument from silence, and have nothing to argue in favor of, and have to resort to arguing against April or March (although that is the only evidence we have from then (200 AD) as to what Christians believed before Clement of Alexandria, which he attests to).
By saying “probably not a true consensus” you are arguing against, not for something.
BTW, the lack of consensus is whether it was May, March or April, with only one citation of Christians believing it was May, and the other months being (April or March) - 2 for April and one for March - but ALL months then cited (May, March and April) as having the 20th or the 21st as being the day Jesus was born. Not December and not December 25th.