I've been down this road on multiple builds of various components. Recently I reverted my crack with speedball to the stock electrolytics from humongous oil caps. I kept the oil caps on for a year before changing to really build up an intuitive baseline reference.
Want to know what I could hear after switching back?
Not much difference at all.
I happen to be using the choke you're considering as well but didn't revert that as it would have produced a paperweight that I don't need.
Better to spend your money and time tube rolling. Using an adapter to try 6SN7, trying various 6AS7/6080 tubes (the NOS Chatham in that position + any pre-70s RCA are really a "peanut butter and jelly" combination for me).
I listen with HD600 and have various sources.
In fact, to take all this to an extreme, I brought my crack over to a friend's who has an absolutely enormous and overbuilt Pete Millett OTL headphone amp--the Wheatfield HA-1. I'm taking about a 50-60 pound monster with a separate power supply portion shielded with copper, huge motor run capacitors, and so forth. We listened with various sources using HD-800 and the difference was microscopic.
Component upgrades are a helluva drug, as they say, but for all the anxiety over this brand, this dialectic material, silver vs aluminum vs copper leads.... You REALLY are better off just buying or building an entirely different component, with a wildly different circuit, than wasting time and money on modifying the Crack.
Download PSUD II and visualize exactly the difference between the stock PSU and one with the choke.
A more interesting project would be to try a regulated high voltage supply and compare it to the stock CRCRC. Or add a stepped attenuator commune control. (I'm actually describing the Crack-a-Two-A right now!)
If you really like the sound of the stock crack, enjoy it and don't worry about the extra 1-5% you could potentially squeeze out of it. Unless you go to the trouble, you won't be able to A/B test anyway, let alone blind test the comparison. Much wiser to enjoy what you have while you truly enjoy it. You'll know when it's time to scratch the itch and try a new component.