Can a CSM deny orders for a leadership school such as BLC or ALC just because you don't get a 70 in each PT event?

What is the real reason? Is it because 60 isnt good enough for him, because thats the wrong answer. Is it because he is worried that statistically NCO Schools grade harder on a PT test and you may fail at the school? If its the second reason, possible talk with the CSM and assure him/her you know the risks, and are sure you will pass. If its the first reason, IG or Article 138.

NO

No. As long as the PT test is passed, there shouldn't be any problem.

Most schools I am aware require you pass the PT Test however if the new school required challenges I would prepare for more than just a passing score.

Yes they can due to if they feel that you as a soldier a representative of your unit and or battalion fails any event there at the unit level or at any leadership school, the CSM will talk to your leadership and tell them not to send any soldier that cannot represent unit or battalion in the way you should as an NCO

With today's soft Army, who knows. When I went to PLDC, our BN CSM required 75% on each category of the PT test or you disn't go. Period. It was right after Christmas break, and I maxxed pu/su, but only scored a 71 on my run. Was told to either take another PT test two days later, or I couldn't go. I took another and stopped at 80% on pu/su, and scored a 79 on my run. That 239 got me into PLDC over my 271, where I received Distinguished Honor Grad. Felt like throwing that cert at the CSM and telling him this is what you almost cost me and this BN!!

Guess my question is as a NCO and a leader of Soldiers why don't you want to get more than 70 in each event. You should be leading your Soldiers by example and striving for the best. And really 70 isn't that hard...it just calls for a little heart and effort.
Sounds like your CSM is trying to protect you from failing. I graded many PT test some for NCOA, I grade to standard...which usually means if you only do your do your minimum and you get any wrong you are screwed. Common mistakes (arms not parallel with the ground, even though your belly touches or not going all the way up...half up all the way down) (butt bouncing on sit-ups or fingers not interlaced). These are things that if you don't do right and you fail good luck enjoy your assassinated career.

Well considering the Chain of Command is now getting Letters of Reprimand if a soldier fails weight and tape or the PT test at a NCOES school I as a leader would push back when a soldier goes to these schools until I can ensure they won't fail. As a leader you shouldn't be anywhere near the minimum standard. As long as you are capable and able not striving to be on top shows lack of drive and initiative. The Army needs competence and top performers..

Simple answer. Yes.

Through my 30 year career I was an instructor in PLDC, BNOC and ANOC. THESE COURSES ARE NOT A RIGHT. THEY ARE A PRIVILEGE.

It is a little harder question than "can". A CSM has to ask himself and the Service Member not if he CAN go but SHOULD he go?
I don't care if I am on the carpet for you failing and you did nothing and you ruining your career but I refuse being on that carpet for me being complacent and fail to do everything I can to help you succeed. Sometimes that is test, reevaluate, retest and even make that hard decision.
If you are going to an NCOES to continue your career wouldn't you want to make sure that it wasn't stage where you ruined it? If you want to go but planning to get out anyway then I will tell you "No" and get you removed from eligibility so that school seat can be filled by someone who wants to continue can.