Then on content. There are 3 levels of comments.
Forgive my ESL...
1) Detailed approach
Richard Anderson wrote:
Okay...
2. Panzer Division? Nope, engaged in the Eifel against First and Third Army, in the area Prüm-Neuerburg-Bitburg until March when it was engaged against Third Army during the retreat down the Mosel and in the Hunsrück.
9. and 11. Panzer Division? Okay, engaged in the Eifel and Saar against Third Army and Seventh Army, then the 11. thrown into NORDWIND, before they were withdrawn into reserve, only to be sent north to defend the Rhine, then sent to Remagen.
21. Panzer? Nope, sent to the East before all the kerfluffle.
116. Panzer? Well, in a sense, since it was already sent to the Netherlands 1. Fallschirmarmee in early February.
Lehr? Sure, also with 1. Fallschirmarmee.
3. Panzergrenadier? In the Ardennes, then sent off to oppose Ninth Army and the Remagen crossing.
15. Panzergrenadier? Yep, in the Netherlands with 1. Fallschirmarmee.
Veritable-Grenade defeated a total of 20 divisions, supported by plenty of non-divisional troops, of which we should note 2 panzerjaeger brigades (655, 741) and 2 artillery corps. These brigades were a significant armor reserve for the Western front.
The mecanized units defeated during V-G are Pz Lehr, 9 Pz-Div, 11 Pz-Div, 116 Pz-Div, 15 PGD and the brigades. As you so rightly list, these are 5 of the 8 [if adding 17 SS PGD] mecanized division of the theater. The ratio is even more impressive if you count the number of armored vehicles instead of the number of units. That's the bulk of what was available.
(and yes, some were partially involved only, but not because the Germans retained them, just because the operation was too fast for them to bring them in completely).
Also the non-mecanized divisions are worth a look, because some like 6. FS and 2. FS are full strength units early February. They are pretty much the only full strength units of the theater, and the same applies to 116 Pz-Div. Others like 7. FS, 180 ID and 346.ID have more than 10,000 personnel, which is many compared to the typical units in the Eifel against Patton or in the West Wall against Patch.
In other words, V-G defeats what remained as prime units, in quantity and in quality.
Finally, note that only 15 PGD was in the area when the operation began. All the other units were brought in later, including 116 Pz-Div, which was further south early February.
2) How much does manpower matter?
One striking thing about the German army as a whole in 1945 is that it never lacks manpower. We all know that, because we've heard of the millions of PoWs in the Allied cages in May 1945. Millions, not 100,000s like you'd get in the first quarter of the year.
But manpower here is just that: men. It does not mean fit, motivated, trained men, but just men. Do they have weapons? Well, "that's complicated". Can they fight? Well...
Between Veritable-Grenade and Plunder-Varsity, the Germans enjoy a couple of weeks of rest to prepare against the Rhine crossing. They receive enough replacement to fill most of their infantry-type units. But the number of weapons is wholly inadequate. And the value of the replacements (men previously unfit for duty, untrained, not motivated) is terribly low.
So when it comes to 1945, it's often more relevant to track the most professional units (some of the ID, some of the para units - but not 3rd FS, for example, it's worthless at this stage - and some of the Pz/PGD) than to take the total manpower as a gauge of effectiveness. These units are the muscle, the ones that count at operational level.
3) Emotional approach
There an elephant in the room. The major hurdle to making an unpassionate assessment of Veritable-Grenade is one name: Montgomery.
Investigating V-G points to a difficult but inexorable victory. 21 AG puts the Germans in a situation they can't win, however hard they try. And this was precisely what everyone had been looking for since September 1944. Being lucky is not necessary for V-G: the whole operation is so conceived that weather, extra losses, mistakes by Allied commanders or extra German reinforcements don't change its output. Think of it: creating such situation is mastery military art.
But this is embarassing to many authors because it would mean praising Montgomery. Since writing on Veritable-Grenade leads to inescapable conclusion it broke the German resistance in the West, several authors - and some of the most famous, of the most serious - just mention it as a footnote to March moves by Patton. Yes, inversing the chronology: first writing pages on Patton in March, then mentioning as a side remark that some other things had been happening way up north.
There is a little bit of that in your comments about the Vianden budge or the Orscholtz triangle. These are truly insignificant operations which have no impact whatsoever on the campaign. One could also say they were quite a waste of American lives. Yet, they pop up to counterbalance V-G...