Have you measured in mag box length on a CTR 223?
Once upon a time, yes, but I don't recall the exact length off the top of my head. I have a Sako 223 which I assume is about the same and its around 2.3" max OAL to fit in the mag. It is however throated to run rounds of 2.600" OAL with 80 grain SMKs. (Single shot hand feeding rounds - not mag fed)
As much as Tikka and Sako make nice rifles, and they offer about 5 action lengths that are ideally suited to the SAMMI spec loads, they are limited when it comes to long range rounds using heavy VLDs and non standard OAL dimensions.
Rem 700 only come in short action and long action. The dimensions of the short action work well with 223 from an AI mag and the long action is actually better even for a 308 where heavy long range loads can be too long to feed or eject from the short action.
An AI pattern 223 mag will allow rounds as long as 2.5" to 2.6" depending on the manufacturer, and you can modify the mag to run them even longer.
That leaves an extra 0.2 to 0.3" of case capacity, so you can safely run a larger powder charge.
You wont be able to do that with a Tikka in 223, or my Sako 223 for that matter.
A Ruger RPR in 223 (Which I have) is throated (out of the box) to run 2.5" OAL with Hornady 75 grain ELDs, and they feed from the magazine. The throat will wear and move forward as rounds are fired and that will extend the jam length over time.
I'm currently building a new 223 on a Defiance Deviant Tactical action so it can feed from an AI pattern mag. The action arrived about a month ago and the Bartlien 1:7 barrel is probably a week or 2 away.