Ehhh... I disagree.
For starters: If I cast Hold Person on you and you get a saving throw at the start of your turn to resist it for that turn, at least it's still -active- on you, rather than being immediately resisted and ignored as if I hadn't cast it, a wasted turn and concentration.
So long as I maintain concentration, there's a chance it will effect you rather than it being a 'cast, they saved, try casting it again' thing. And to -actually- get rid of it, you have to spend an action to attempt a save. Which means the absolute -least- Hold Person can do is force your enemy to lose one action on their turn
If anything, that's a buff to the current Hold Person spell.
Further buffing it is the ability to more easily, and comprehensively, lockdown lower-level threats from the entire fight. Think of casting "Enthrall" while your proficiency modifier is 3 higher than the 20 kings guard who are coming to stop you while you're on your way to kick his butt. BAM. Out of action essentially permanently. No saves. Nothing. Just -done-. Rather than slogging through that fight.
Again, buff... or nerf against single, much more powerful, enemies in combat encounters. 'Cause not -every- tool is right for -every- job.
That's no fun for the person locked down. And it can instantly trivialize otherwise important battles, making it anticlimactic at best.
Lockdown needs some variety in how it works rather than a simple 'He resists' or not.