The 70mm rockets are produced in a number of countries, including Canada and Brazil.
Avibras claims that the unguided rocket in ground to ground ballistic mode, effectively area suppression, has a range of up to 12 km  
This compares to the C1 105mm at 11 km and the C3 at 18 km.
The 70 mm ballistic rockets can be converted into Precision Guided Missiles that can be launched from the same launchers as the ballistic rockets.  The converted rocket is known as the Advanced Precision Kill Weapons System II and is considered as a low cost alternative to the Hellfire ATGM.   The range of the 70 mm APKWS II in Direct Fire mode is variously given as up to 5 km.
Common warheads available for the 70mm rocket seem to replicate the range of warheads available to 105mm howitzers - both lethal and non-lethal.
Designation	Description	Weight	Payload	
M151	High explosive (HEDP) '10 pounder'	8.7 pounds (3.9 kg) (w/o Fuze)	2.3 pounds (1.0 kg) Comp B-4 HE	
M156	White phosphorus munitions (WP)	9.65 pounds (4.38 kg)	2.2 pounds (1.00 kg) WP	
M229	High explosive (HEDP); elongated M151 '17 pounder'	17.0 pounds (7.7 kg) (Fuzed)	4.8 pounds (2.2 kg) Comp B-4 HE	
M247	High-explosive anti-tank (HEAT)/high-explosive dual purpose (HEDP)	8.8 pounds (4.0 kg)	2.0 pounds (0.91 kg) Comp B HE	M255	APERS (anti-personnel) warhead		2500 28 grains (1.8 g) flechettes		
M257	Parachute illumination	11.0 pounds (5.0 kg)	One M257 Candle (Flare) 1 million candela	
M259	White phosphorus (WP)				9
M261	Multi-purpose submunition (MPSM)	13.5 pounds (6.1 kg)	9 M73 (Grenade) Submunitions	
M264	Red phosphorus (RP) Smoke	8.6 pounds (3.9 kg)	72 RP Pellets	
M267	MPSM Practice	13.5 pounds (6.1 kg)	Three Marking SMs, 6 Metal Weights	
M274	Practice (Smoke)	9.3 pounds (4.2 kg)	2 ounces (57 g) of potassium perchlorate and aluminum powder	
M278	Infra-red (IR) parachute illumination	11.0 pounds (5.0 kg)	One M278 IR Flare	
M282	Multipurpose penetrator warhead	13.7 pounds (6.2 kg)	0.98 pounds (0.44 kg) PBXN-110		
Mk 67 Mod 0	White phosphorus (WP)				
Mk 67 Mod 1	Red phosphorus (RP)				
WTU-1/B	Practice	9.3 pounds (4.2 kg)	Inert	
WDU-4/A	APERS warhead	9.3 pounds (4.2 kg)	96 flechettes of unknown weight		
WDU-4A/A	APERS warhead	9.3 pounds (4.2 kg)	2205 20 grains (1.3 g) flechettes	
Fuzing options for 70mm rockets 
#	Designation	Description	Arming Range, Acceleration or Time
1	M423	Nose Mount, Point Detonating for slow speed platforms (helicopters)	47 to 102 yards (43 to 93 m)
2	M427	Nose Mount, Point Detonating for high speed platforms	197 to 466 yards (180 to 426 m)
3	XM436	Air burst, Motor-Burnout Delay	
4	XM438/M438	Nose Mount, Point Detonating	
5	M440	Point Detonating	
6	Mk 352 Mod 0/1/2	Point Detonating	
7	M429	Proximity Air burst	
8	M433	Nose Mount, Resistance Capacitance (RC)	
9	M439	Base Mount, Resistance Capacitance (RC), Payload Discharging Pilot-Selectable	
10	M442	Air burst, Motor-Burnout Delay	
11	M446	Base Mount, Air burst, Motor-Burnout Delay	
12	Model 113A	Base Mount, Air burst, Motor-Burnout Delay	
To my mind providing fire support with something like this is akin to launching direct from the limber.  
And while rippling a single type of warhead is possible it is equally possible to mix up the warheads and launch singly over time.
Here's a comparison of Payloads (ie effects).
81mm M821 - 0.68 kg Comp B
70mm M151 - 1.0 kg Comp B4
70mm M229 - 2.2 kg Comp B4
105mm M1 - 2.1 kg Comp B
120mm M933 - 2.99 kg Comp B
And just for reference the US Army's ACERM (Advanced Capability Enhanced Range Mortar) program is looking for a 20 km 81mm mortar.  That seems to me to indicate that the Battalion's Area of Interest is getting a lot larger - in fact exceeding the current Brigade's and Artillery Regiment's Area.