Usually, your entities all have velocities, which you can use to extrapolate from the last simulated state to the current one (after <dt time has passed). For things like visual effects, you'd have to have a custom extrapolate implementation, which is not really different than a custom interpolate implementation that you need for interpolation.
This eliminates the lag issue, and at anywhere close to 60FPS, looks perfectly fine. It will look strange at very low framerates, but at that point, you can just automatically switch it off.
You do need a way to extrapolate game state, which is slightly painful, but the author's proposed solution has big drawbacks (which he hints at). Since it touches all game state each frame (even though it's "just" a memcpy), it completely changes the performance characteristics of your main loop.
Without this, the complexity of your game step is linear in the number of updated or rendered entities, so you can add large amounts of additional state at any time, as long as only a small part of it will be visible/relevant to update each frame.
With the author's approach, your step complexity is linear in the state size. You basically have an additional write for all state, which gives you a very restrictive upper limit. It's not just AAA games - as soon as you add a particle system, you've created a great many entities which you now need to memcpy every frame.
The scalable solution to this complication is copy-on-write, which is more complexity... or, bite the bullet, write that extrapolation function, and enjoy your freedom to introduce crazy particles, physics, MMO world state, or whatever you want! At real-world framerates, it will look no different.