I would say the first thing comes down to the stock & how you like it.
That is going to probably be the biggest concern you will have.
Then I'm assuming you are talking about an AWSM in .338LM if you are thinking of rebarreling to .300 Norma.
AWSM = Single stack magazines = AXMC = Dual stack magazines.
When you need to change the barrel AWSM = about 10 to 30 minutes with the correct tools (including vice, block, action wrench and torque wrench).
AXMC = about 2 to 10 minutes with minimal tools required.
The AW / AWM / AWSM were all also made with folding stocks, but it sounds like the one you are looking at does not have that.
The folding stock makes it easier for cleaning, as you can just swing the stock out of the way & pull the bolt without having to lower the cheek rest. It can also make it easier to carry in the trunk of your car.
I have both an AW and an AWSM in addition to the AXMC and like them all. The AW and AWSM are rice old school classic super rugged pieces.
Now just to compare a bit:
You can usually get a used Pre 2014 (so no quick change barrel) AX Long Action for about $5000 to $6000
If you hunt around, I would bet you could get a new AXMC in the low $7k range to the $8k range depending on the deal you wait for, the features you want & how you pay.
You could also probably get a used AXMC in the $7k range depending on who is selling what at the time & how motivated & what other stuff they have.
My suggestion is assuming the old school one you want is the AWSM (setup in .338LM by default) and not the AWM (.300 WM) and has just the fixed stock, I'd see if you could get it for $4k That would probably be a bit closer to value. If it had the folding stock, then closer to $5k would be about right.