Online games avoid that problem by having an authoritative networking architecture, not by avoiding minor deviations in CPU behavior between players. Games that use synchronized lockstep that use floating point math always desync, because floating point math differs slightly between different processors.

Curved motions are easy as long as you have simple polygons and only one of them is accelerating and is accelerating in a simple way. You remove the acceleration by skewing the polygon you're going to collide with and then you have a linear path of motion again. (if the acceleration is not constant for the duration of that frame, then skewing doesn't give the right result; as long as you have a closed form representation, though, it's entirely possible to get it right)

"Don't run on a tick-based physics engine" is a misconception. Interactions are the borders between ticks. It's just dynamic. As long as your tick doesn't contain interaction changes inside it, you can simulate that tick with 100% tickrate independence with 100% certainty.

Floating point differences between cpus are Much Larger, especially if your code uses hardware-accelerated trig at all. Games networking is authoritative for this reason.

You can get a 100% repeatable result with a tickless engine.

Fixed timestep doesn't solve the problem. If the user can't run the simulation at 60 ticks per second, they're still going to slow down, period. All you're doing is separating simulation from rendering, which basically every modern FPS under the sun already tries to do in a different way than fixed timestep does. If you run the simulation slow enough that nobody will have performance problems with it, you just added tons of input latency. Thanks a lot, sincerely, someone with dysgraphia.