As an MFL and Linguistics teacher in 16-19 education, I cannot see how promoting Latin at this precise moment is helpful. As @noblegiraffe has pointed out, one of the biggest issues in education is the withdrawal of funding for BTECs which is going to damage the educational outcomes of many vulnerable students. Not to mention the need to help schools and colleges cope with the fall out of all the COVID disruption.
I am all for promoting languages, obviously. As many have pointed out, learning a language teaches logic, awareness of other cultures, an understanding of your own language, hard work etc. But I fail to see why Latin would be a better alternative to another Romance language where you can actually communicate with real people. Knowing Spanish, French, Italian or any other Romance language gives you a general awareness of Latin anyway. People who claim that people in these countries all speak English have clearly not much knowledge of these countries! I am married to a Spaniard and very few of our friends - all professionals- speak more than a few badly pronounced words of English.
MFL teaching in the UK is hard work, under-funded like most subjects and it is increasingly hard to recruit good teachers for post-Brexit. More funding to support teaching existing languages would be more useful I think. I’m not saying Latin shouldn’t be taught - it has many advantages. But to be promoted instead of other more useful languages at a time of huge underfunding of education, seems a political gimmick aimed at Tory voters rather than anything else.