Cutler-Hammer has been a reliable source of AFCI breakers for Square-D panels, even when Square-D has been unable to supply them (due to recalls, etc.)
It's a distinction without a difference to try to contrast 'classified' with 'listed.' Naturally, this is a matter on which UL and some panel makers disagree. I'll go with UL.
The Murray letter is another rehash of the Square-D approach: When facts fail, inspire fear with the 'warranty' argument. Since there are specific Federal laws that address that particular argument, either the manufacturer is bluffing, or they're ignorant.
Now ... that said ... just because something 'fits' does not mean it is appropriate. One must visit the UL site, or consult the breaker manufacturers' literature, to support the decision to use an alternate brand. Just because C-H makes A breaker you can use, it does NOT follow that EVERY C-H breaker can be used in everyone's panel.
As for the HI-inspired hair-splitting of 'is a new classified breaker listed for use in an old panel' shibboleth .... not even Square D can assert that today's breakers are specifically tested for use in every panel they've ever made. If it's OK for todays' panel, it's OK for yesterdays panel- regardless of whatever mergers, aquisitions, or other business changes there have been.