dnd 5e – Statistically what are the issues with rolling initiative every round

A friend of mine has mentioned he is thinking of trialing rolling initiative at the start of every round in combat, vs 1 roll at the start of combat for his table.

This sounds like a really bad idea to me for a few reasons, for example.

Any spell that lasts “until the end of your next round” potentially becomes far weaker/stronger depending on your initiative rolls (if you rolled low and then high the duration halfs, if you roll high then low it doubles)

Players death saving throws and healing in general but clerics etc.

But these are all anecdotal.

So is there a statistical way to show how re rolling initiative every round of combat would impact the DnD system?