Earlier quoted context omitted.
Even if you buy your own modem they can push firmware to it (and do). The config file your modem downloads includes a cert that allows the isp to do this. You can flash special firmware (used to be called force ware) to prohibit this.
Is it safe enough to buy a separate router and put the ISP modem on the "internet" side of it?
However, I would assume no unencrypted traffic is safe anyway, and the modem would indeed not have access to your internal network.