Lies or not, I think it’s a colossal mistake for Chareidim to object to the draft based on either shmad or bitul torah.
These reasons, at best, are not going to appeal to ochlei nleveilos utreifos.
But the real reason to be anti the draft- for EVERYONE–is that the government, and the IDF, have ABSOLUTELY NO BUSINESS ASKING–DEMANDING–PEOPLE TO RISK THEIR LIVES WHEN THEY COULDN’T GIVE A HALF A BLAST ABOUT IT.
They do their best to put the soldiers on the line to kiss up to their American enemies. To save Gazan terrorists. The people are SICK and have no business whatsoever drafting anyone.