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What we used to have didn't. I think your device had to be already encrpyted and have some form of lock but that was it (there was also the ability to remotely wipe).
Although we don't have email access any more which I find quite nice. There's a bit of MFA but given it uses the MFA app I already have I don't really care. Far preferable to a work mobile which people would expect you to answer.
My boss does like a bit of WhatsApping though. I just didn't respond to messages for hours and told him that the best way to get me when I'm working is Teams as I'm sat in front of it.
One good thing about MDM is it wipes your SD/internal memory and encrypts it, which means nobody is going to do that just to be able to use company apps. So if you want me to have Outlook on my phone, give me a business phone 💁