OK, that leaves me with 2 questions, 1. What is a match chamber? 2. Why doesn't the market force a standard rim thickness? Accuracy and 22rf ammo is a crap shoot to begin with and then when you add a major manufacture using a different case dimension. Thank you for the information, Eley is off my test list, but now I understand why guys are measuring the rim thickness.
The rabbit hole gets deeper!
Eley shouldn't be off your test list... It sounds like you're misunderstanding the previous comment on Lapua vs. Eley rim thickness. Eley and Lapua rimfire ammunition both win top international competitions.
Accuracy and Rimfire isn't a crap shoot either... good match grade rimfire ammo will generally shoot very well in most well made rimfire rifles. There are standard dimensions for cartridges and chambers, but there can also be minute differences between what CIP specifies and SAAMI specifies. Additionally, manufacturing methods, and tolerances will play a part in "Eley having a slightly less thick rim than Lapua." One doesn't make the other worse, it's just a minute difference due to a myriad of variables.
Match chambers in rimfire bolt rifles generally have a shorter distance from the headspace datum (where the rim seats against the mouth of the chamber) and where the throat/leade of the rifling commences. Match chambers allow the projectile to be lightly (or heavily depending on how tight it is) engraved by the rifling -- this can increase accuracy.
Most off the shelf rimfire rifles, especially semi-autos and general plinking guns will have a standard SAAMI chamber (or CIP if coming from a European manufacturer). There are plenty of other .22lr chambers out there, but generally a Match chamber in a bolt action rimfire will allow for some level of rifling engraving when the round is chambered and the action is locked in battery.
Measuring rim thickness is typically not worth while from a sorting perspective... the almost insignificant difference in that will not greatly affect the ability of a given gun to group well - not to mention the shooters capabilities, external variables, ammunition variables within the manufacturing Lot etc. all playing a much greater role.
Lots of more serious shooters will, if possible, set the headspace to the given rimfire ammunition they're using, which does mean measuring the rim thickness, or using headspace gauges to set the headspace closed to their ammunition, as having it be as tight as possible while still within specification (remember the headspace dimension is a plus/minus dimension) can improve ignition of the cartridge, and thus increase the consistency of powder burn and so on.... I won't get into too much more detail because quite frankly it very quickly turns into a huge lesson Internal Ballistics.
The original post was asking as to whether one method of increasing or decreasing headspace would be better than the other - arguably that remains to be seen, but my initial suggestion of changing it on the bolt was to avoid introducing as little error as possible between the barrel and the receiver interface, as that could theoretically create other problem areas (again, theoretically, it's an entirely valid method).
I hope the above information helps you better understand, at a very high level your two questions and also why you should not discount Eley. I have managed to shoot MOA groups @ 50 yards with Eley Sport (in a Bergara B14R) which is not their best match ammunition by a long shot -- proper accuracy testing of Eley, Lapua, SK etc. will show you which ammunition shoots the best for you.