From the link you provided:
"Several companies or even battalions could be employed as skirmishers (tirailleurs en grande bande). The tiralleurs en grande bande acted in large numbers, stormed or defended a position, or turned the flank of the enemy. The large skirmish formations were usually supported by columns and artillery. At Friedland General Oudinot had deployed 2 full battalions as skirmishers into the Sortlack Wood. In 1814 at La Rothiere four French battalions were formed in skirmish order by La Giberie to anticipate any attack which might develop in the rear of the wood. The French on occasion deployed even entire divisions [!] in skirmish formations. (Nafziger - "Imperial Bayonets" 1996 p 111)
In 1806 at Jena, the French 16th Light Infantry advanced left in front towards the woods: its third battalion advanced en tirailleurs (in skirmish order) towards the wood, the first and second battalion, marching still in column, went past the right of the woods and deployed into line in the plain at musket range from the Prussian battery.
There is a myth, however, that only the French were capable of using entire battalions in skirmish order. In 1813 at Hagelberg the IV Battalion of Prussian 3rd Kurmark Landwehr deployed into skirmish formation and advanced forward together with two other battalion formed in columns screened by their own skirmishers. In the end of battle approx. 300 Prussian skirmishers pursued 2 battalions of French infantry (total 1.000 men). These skirmishers were joined by Cossacks and Russian guns and the French halted and surrendered. In 1812 at Borodino the Russians employed entire brigades of jagers as skirmishers. In 1813 at Dresden, Russian General Roth had several jager battalions of his Advance Guard in skirmish line along the Landgraben canal. At Borodino, Polish 16th Division fought in the wooded area near Utica having 2/3 of its strength fully in skirmish order. In 1813 at Leipzig, Prince Poniatowski deployed 6 Polish battalions into a thick skirmish line.)"
Several other examples are provided.
The evidence supports both that fully deploying was common (examples provided are only a sample) or that fully deploying was uncommon (example provided are the only cases). Or one could argue like a politician - ie backwards from a conclusion (interpret the evidence so it's consistent with an a priori conclusion). Of course war gamers would never do that.
My own view is that towards the end of the war's most line infantry are being to act like light infantry with regards to skirmishing. In the American civil war any regiment was supposed to be capable of fully deploying in skirmish order. But even at Waterloo d'Erlons corps clearly had a greater skirmish capability than is imp,it's by the single legere regiment in the I corps orbat.
In any event there are examples when several battalions including whole regiments fully deployed in skirmish order was done. Therefore it must be represented by the rules.