Yes, brigade remained "mechanized", but it's battalions not.
And note that unit name-changing was generally rather frequent in our armed forces in the last 20 years (well, could be said that 65 years).
Ours Ordre de Bataille is simple, we have mechanized company, motorized and armoured ect: this is theory. And our units names ... armoured cavalry, air cavalry, ulans, rifles, mounted rifles ... madness! historical but madnes. Glorfindel use generic company sheet.
And it's all true what are you saying about frequent name changing, you know ... every political party what to change something becouse that other party was evil. Civilians rule army, and thats why there is always a one big ... you know what.