Here are some tips regarding "AMAs". They can actually be very useful on the defensive or on flanks of a German drive. However, they have to be "stiffened" with German troops.
I generally try to create corps with 4-5 divisions in them of AMA's. These corps will deploy 1 unit per hex on a frontage of 3-4 hexes (I use one division for rotation) in with German troops to stiffen a front line.
Place a good mix of the AMA's SUs in the corps command - I think 6-8 is a good number with a mix of artillery, aa, engineer, MG (for rumanian). Shoot for about 3 artillery, 1-2 flak, 1-2 engineer and anything else carrying some actual CV.
What you will find is that as long as the AMA corp is at least in the same army group as the defending German unit, then the AMA unit will suffer only about a 10-13% Command CV reduction. However, the unit's corp HQ will commit (with a good init leader) around 3-6 SUs to the fight bringing a good amount of firepower to the defense. Also, note the SUs, if the fight is won, will gain victories and over time will be reasonably high experience/morale and thus begin to have their effect magnified.
The only way to get AMA SUs to fight is to have them under their own corp/army HQs and you will note that to start the 41 scenario that:
Finland - has one tank bn, one commando bn, one inf bn, 20 art SU, 9 AA SU, 8 engineer and 11 MG SUs (total 51 SU)
Rumania - 19 MG units (each one is 1400 men!), 9 engineer, 9 aa, 2 cavalry bn, 33 art, and 5 AT bn (total 77 SU)
Hungary - 18 art, 20 aa, 9 engineer (total 47 SU)
Italy - (note some reinforcements come later) 1 MG, 1 Eng, 4 AA, 1 AT, 3 art, 5 CCNN legion (1,500 man infantry components) - total 15 SU
Germany by comparison has:
3 Flamm PZ bns, 1 bicycle recon bn, 125 art, 5 at, 127 AA, 25 SP gun, 52 pioneer, 28 rocket, 3 MG - total: 371 SU
So the AMAs offer a total of 190 SU to 371 for Germany. This is a lot of extra manpower that can be brought to the fight, especially as reacting defensive units.