Do you need to charge at 0.5C? Is this for emergency charging so you need to charge in less than 2 hours ?
There will be no reason for 0.5C charging if you charge overnight.
That thing looks like a welder and seems to be to light to be transformer based so likely it is inverter type.
Not sure if that thing can be controlled by the SBMS0 since that ON/OFF button may directly switch OFF the AC input current.
I will recommend for around the same price you get one of those 3000W hybrid inverter/chargers from china and use it as a charger only. It will have the same weight about 5kg and likely more reliable.
I have two of those hybrid type inverter chargers that I only use as inverters and they work everyday for many years (I think the oldest one is about 10 years).
Here is an example but there are under many brands with small differences. Just make sure it has an toggle switch ON/OFF button so that you can use that to allow SBMS0 to control it ON/OFF
You can check trough maybe hundred's of similar models as internally they use the same design and if you want to be sure it works with SBMS0 just post a link and I will take a look at it.